Prime p₀= 958553971791706007 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: stoneageman
db: batch=76, k=10, 2 88 2 40 2

SPT(16)	958553205133894049	0 18 32 78 108 120 138 140 162 164 182 194 224 270 284 302	-766657811958
STPT(10)	958553270056436111	0 2 36 38 78 80 120 122 156 158	-701735269896
SPT(16)	958553425775652193	0 34 40 54 58 64 76 84 160 168 180 186 190 204 210 244	-546016053814
SPT(16)	958553548093274447	0 20 32 42 72 84 122 146 150 174 212 224 254 264 276 296	-423698431560
SPT(16)	958553650959307213	0 10 18 28 30 150 166 198 238 270 286 406 408 418 426 436	-320832398794
STPT(10)	958553697191001341	0 2 126 128 138 140 150 152 276 278	-274600704666
SPT(16)	958554716961720617	0 6 44 60 116 140 162 186 200 224 246 270 326 342 380 386	745170014610
STPT(10)	958554969466507199	0 2 42 44 90 92 138 140 180 182	997674801192
TPT(16)	958555418157684827	0 2 72 74 174 176 294 296 342 344 390 392 474 476 522 524	1446365978820
SPT(16)	958555664769310897	0 6 24 34 46 66 84 94 126 136 154 174 186 196 214 220	1692977604890
TPT(14)	958555714336015517	0 2 72 74 120 122 150 152 192 194 210 212 234 236	1742544309510