Prime p₀= 2690410908858101279 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 46 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 138 140 180 182
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: 182
Found by: Asgard2022
db: batch=82, k=10, 2 40 2 46 2

SPT(16)	2690410142912879731	0 36 70 78 88 100 126 130 138 142 168 180 190 198 232 268	-765945221548
STPT(10)	2690410183517558387	0 2 12 14 42 44 72 74 84 86	-725340542892
STPT(10)	2690410209617433167	0 2 12 14 72 74 132 134 144 146	-699240668112
STPT(10)	2690410263807747461	0 2 30 32 78 80 126 128 156 158	-645050353818
TPT(14)	2690410692051941939	0 2 78 80 90 92 132 134 150 152 192 194 222 224	-216806159340
SPT(16)	2690410800677118733	0 4 36 54 96 168 190 208 456 474 496 568 610 628 660 664	-108180982546
SPT(16)	2690411034672641447	0 66 74 122 144 170 230 242 264 276 336 362 384 432 440 506	125814540168
STPT(10)	2690411053734082487	0 2 12 14 42 44 72 74 84 86	144875981208
SPT(16)	2690411446234099937	0 42 62 84 90 150 174 222 224 272 296 356 362 384 404 446	537375998658
STPT(10)	2690411518709782409	0 2 12 14 90 92 168 170 180 182	609851681130
TPT(14)	2690411693396463857	0 2 144 146 252 254 270 272 300 302 330 332 384 386	784538362578