Prime p₀= 2313428581994598161 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: WTBroughton
db: batch=81, k=10, 2 28 2 28 2

SPT(16)	2313427755267603979	0 54 64 70 78 190 232 264 268 300 342 454 462 468 478 532	-826726994182
SPT(16)	2313427976446466471	0 20 30 60 62 96 116 182 186 252 272 306 308 338 348 368	-605548131690
SPT(16)	2313428032467373873	0 10 46 76 100 106 126 130 174 178 198 204 228 258 294 304	-549527224288
SPT(16)	2313428378732210479	0 4 28 34 60 88 90 102 190 202 204 232 258 264 288 292	-203262387682
SPT(16)	2313428416917912059	0 42 62 108 110 140 168 188 282 302 330 360 362 408 428 470	-165076686102
SPT(16)	2313428523135216701	0 26 30 62 92 96 140 146 162 168 212 216 246 278 282 308	-58859381460
SPT(16)	2313428650774130779	0 10 28 30 58 70 102 130 162 190 222 234 262 264 282 292	68779532618
SPT(16)	2313428738569057639	0 12 18 54 78 82 112 124 318 330 360 364 388 424 430 442	156574459478
STPT(10)	2313428960199232331	0 2 30 32 78 80 126 128 156 158	378204634170
SPT(16)	2313429120837272329	0 52 78 90 118 132 162 180 262 280 310 324 352 364 390 442	538842674168
STPT(10)	2313429470095762157	0 2 12 14 42 44 72 74 84 86	888101163996