Prime p₀= 690304651780073111 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 78 62 6 16 30 8 28 38 22 2 22 38 28 8 30 16 6 62 78 (?)
a_n: 0 78 140 146 162 192 200 228 266 288 290 312 350 378 386 416 432 438 500 578
All 20 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 578
derived by truncating larger tuple
Found by: EarlyBird@Zircons
db: batch=72, k=20, 78 62 6 16 30 8 28 38 22 2

TPT(12)	690304481071638911	0 2 30 32 90 92 228 230 240 242 258 260	-170708434200
TPT(12)	690304487261181209	0 2 18 20 48 50 60 62 102 104 132 134	-164518891902
TPT(12)	690304541338352777	0 2 12 14 42 44 90 92 174 176 270 272	-110441720334
TPT(12)	690304608276957719	0 2 168 170 342 344 372 374 390 392 432 434	-43503115392
TPT(12)	690304610252847047	0 2 120 122 162 164 264 266 300 302 330 332	-41527226064
SPT(22)	690304651780073087	0 24 102 164 170 186 216 224 252 290 312 314 336 374 402 410 440 456 462 524 602 626	-24
TPT(12)	690304667953733771	0 2 180 182 210 212 276 278 378 380 420 422	16173660660
TPT(12)	690304673628605141	0 2 306 308 318 320 330 332 348 350 366 368	21848532030
SPT(16)	690304684658325547	0 10 30 70 100 154 186 192 214 220 252 306 336 376 396 406	32878252436
TPT(12)	690304766131528781	0 2 30 32 36 38 120 122 210 212 228 230	114351455670
TPT(12)	690304780767612539	0 2 18 20 42 44 90 92 102 104 138 140	128987539428
TPT(12)	690304829588640989	0 2 48 50 60 62 72 74 90 92 240 242	177808567878