Prime p₀= 2531173099806593129 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: samuraiii
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2531171430037069711	0 16 22 42 58 78 156 178 180 202 280 300 316 336 342 358	-1669769523418
STPT(10)	2531171983165525487	0 2 12 14 72 74 132 134 144 146	-1116641067642
SPT(16)	2531172078152625547	0 16 132 136 142 154 204 210 226 232 282 294 300 304 420 436	-1021653967582
SPT(16)	2531172252726528731	0 36 60 68 78 126 158 162 206 210 242 290 300 308 332 368	-847080064398
STPT(10)	2531172440932159691	0 2 6 8 18 20 30 32 36 38	-658874433438
STPT(10)	2531172971870487557	0 2 30 32 42 44 54 56 84 86	-127936105572
SPT(16)	2531173625846231719	0 112 124 160 174 220 222 238 264 280 282 328 342 378 390 502	526039638590
TPT(14)	2531173817068384259	0 2 30 32 120 122 168 170 198 200 252 254 312 314	717261791130
STPT(10)	2531174071711500461	0 2 36 38 78 80 120 122 156 158	971904907332
SPT(16)	2531174212430112619	0 28 42 54 60 82 94 100 252 258 270 292 298 310 324 352	1112623519490
SPT(16)	2531174358986102261	0 42 50 80 90 108 138 152 216 230 260 278 288 318 326 368	1259179509132