Prime p₀= 2637497358807952337 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: JayPi
db: batch=82, k=10, 2 10 2 58 2

STPT(10)	2637495743249104979	0 2 42 44 90 92 138 140 180 182	-1615558847358
STPT(10)	2637496034855862641	0 2 138 140 168 170 198 200 336 338	-1323952089696
SPT(16)	2637496064534021659	0 34 64 70 90 112 168 174 238 244 300 322 342 348 378 412	-1294273930678
TPT(14)	2637497119576781807	0 2 72 74 90 92 114 116 120 122 174 176 210 212	-239231170530
SPT(16)	2637497268097442941	0 10 66 72 78 88 120 220 288 388 420 430 436 442 498 508	-90710509396
SPT(16)	2637497275630740547	0 30 40 52 90 100 114 154 180 220 234 244 282 294 304 334	-83177211790
STPT(10)	2637497442690789311	0 2 6 8 48 50 90 92 96 98	83882836974
STPT(10)	2637497668596073037	0 2 30 32 42 44 54 56 84 86	309788120700
SPT(16)	2637497698361314297	0 34 46 54 66 90 124 126 130 132 166 190 202 210 222 256	339553361960
SPT(16)	2637497709923555351	0 6 12 20 66 78 80 92 96 108 110 122 168 176 182 188	351115603014
SPT(16)	2637497723278997521	0 22 42 48 52 96 132 148 180 196 232 276 280 286 306 328	364471045184