Prime p₀= 2582078429069035711 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 58 14 24 16 36 14 6 22 6 14 36 16 24 14 58 (?)
a_n: 0 58 72 96 112 148 162 168 190 196 210 246 262 286 300 358
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 358
Found by: Penguin
db: batch=82, k=16, 58 14 24 16 36 14 6 22

SPT(16)	2582077265192256289	0 22 28 30 54 78 120 124 138 142 184 208 232 234 240 262	-1163876779422
SPT(16)	2582077286719815769	0 52 70 78 84 184 198 280 282 364 378 478 484 492 510 562	-1142349219942
SPT(16)	2582077303384494953	0 8 36 48 50 104 116 140 204 228 240 294 296 308 336 344	-1125684540758
SPT(16)	2582077400135721107	0 12 42 86 116 126 156 180 242 266 296 306 336 380 410 422	-1028933314604
SPT(16)	2582077911192501299	0 14 68 92 114 134 182 200 222 240 288 308 330 354 408 422	-517876534412
SPT(16)	2582078147462515601	0 6 26 30 48 78 110 146 162 198 230 260 278 282 302 308	-281606520110
STPT(12)	2582078465608989029	0 2 12 14 18 20 42 44 48 50 60 62	36539953318
STPT(10)	2582079220599586847	0 2 42 44 72 74 102 104 144 146	791530551136
STPT(10)	2582080290824677829	0 2 18 20 30 32 42 44 60 62	1861755642118
STPT(10)	2582080379761422497	0 2 12 14 42 44 72 74 84 86	1950692386786
SPT(16)	2582080707838934201	0 6 12 50 96 120 230 240 242 252 362 386 432 470 476 482	2278769898490