Prime p₀= 1130117939096247767 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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 10 2 28 2

SPT(16)	1130117043531915379	0 10 24 90 114 118 132 150 202 220 234 238 262 328 342 352	-895564332388
TPT(14)	1130117147993213657	0 2 210 212 252 254 264 266 324 326 354 356 390 392	-791103034110
SPT(16)	1130117298154363487	0 12 36 44 80 156 182 192 224 234 260 336 372 380 404 416	-640941884280
SPT(16)	1130117439838528937	0 32 42 122 174 200 242 284 300 342 384 410 462 542 552 584	-499257718830
SPT(16)	1130117726275019051	0 6 30 56 62 78 120 146 162 188 230 246 252 278 302 308	-212821228716
STPT(10)	1130117886439869029	0 2 138 140 150 152 162 164 300 302	-52656378738
STPT(10)	1130117950162954301	0 2 6 8 48 50 90 92 96 98	11066706534
SPT(16)	1130118141313861883	0 44 56 78 128 134 138 170 234 266 270 276 326 348 360 404	202217614116
TPT(14)	1130118196293120821	0 2 48 50 78 80 96 98 138 140 150 152 216 218	257196873054
SPT(16)	1130118210356244091	0 6 48 52 78 136 166 178 180 192 222 280 306 310 352 358	271259996324
STPT(10)	1130118459353959259	0 2 30 32 60 62 90 92 120 122	520257711492