Prime p₀= 953118689868534377 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Theadalus
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	953117371769456011	0 28 48 52 60 70 88 112 198 222 240 250 258 262 282 310	-1318099078366
STPT(10)	953117709886892489	0 2 30 32 60 62 90 92 120 122	-979981641888
SPT(16)	953117770005220999	0 34 82 102 144 148 180 202 210 232 264 268 310 330 378 412	-919863313378
SPT(16)	953117943888841421	0 6 36 56 78 80 126 132 176 182 228 230 252 272 302 308	-745979692956
STPT(10)	953118184767856397	0 2 42 44 132 134 222 224 264 266	-505100677980
STPT(10)	953118507867849941	0 2 36 38 78 80 120 122 156 158	-182000684436
STPT(10)	953118761327038919	0 2 18 20 30 32 42 44 60 62	71458504542
SPT(16)	953118945169956871	0 12 52 78 88 190 208 270 298 360 378 480 490 516 556 568	255301422494
SPT(16)	953119040544665237	0 36 80 92 122 132 176 192 200 216 260 270 300 312 356 392	350676130860
SPT(16)	953119050440031911	0 36 50 56 78 90 128 146 192 210 248 260 282 288 302 338	360571497534
SPT(16)	953119477705196411	0 38 140 150 156 168 180 200 288 308 320 332 338 348 450 488	787836662034