Prime p₀= 1269128575599397607 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 88 2 40 2 40 2 88 2 (?)
a_n: 0 2 90 92 132 134 174 176 264 266
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 266
Found by: mikey
db: batch=77, k=10, 2 88 2 40 2

STPT(12)	1269127709243559461	0 2 48 50 90 92 126 128 168 170 216 218	-866355838146
SPT(16)	1269127722792650041	0 40 46 60 76 118 168 178 258 268 318 360 376 390 396 436	-852806747566
SPT(16)	1269127739016578291	0 2 6 36 42 50 68 92 96 120 138 146 152 182 186 188	-836582819316
SPT(16)	1269128075059365413	0 8 48 60 98 110 126 158 198 230 246 258 296 308 348 356	-500540032194
SPT(16)	1269128108025222463	0 40 58 100 124 126 168 198 256 286 328 330 354 396 414 454	-467574175144
SPT(16)	1269128291026632629	0 24 32 42 60 62 68 138 194 264 270 272 290 300 308 332	-284572764978
SPT(16)	1269128605645722281	0 20 26 32 56 116 132 176 186 230 246 306 330 336 342 362	30046324674
STPT(10)	1269128856520348007	0 2 30 32 60 62 90 92 120 122	280920950400
STPT(10)	1269129059776035917	0 2 30 32 42 44 54 56 84 86	484176638310
TPT(14)	1269129063888361301	0 2 36 38 90 92 96 98 108 110 288 290 306 308	488288963694
TPT(14)	1269129429530638469	0 2 48 50 120 122 180 182 360 362 390 392 462 464	853931240862