Prime p₀= 2356763734151004707 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: Landjunge
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2356762221153714991	0 22 30 58 60 102 106 136 162 192 196 238 240 268 276 298	-1512997289716
STPT(10)	2356762301185029641	0 2 120 122 138 140 156 158 276 278	-1432965975066
TPT(14)	2356762793956961387	0 2 54 56 60 62 114 116 174 176 240 242 312 314	-940194043320
SPT(18)	2356762888494478349	0 42 72 98 152 174 198 200 222 230 252 254 278 300 354 380 410 452	-845656526358
SPT(16)	2356763028299909303	0 48 68 74 86 98 104 116 198 210 216 228 240 246 266 314	-705851095404
STPT(10)	2356763043224909117	0 2 30 32 120 122 210 212 240 242	-690926095590
STPT(10)	2356763857334834021	0 2 6 8 48 50 90 92 96 98	123183829314
SPT(16)	2356763916733221767	0 50 66 74 80 114 126 144 182 200 212 246 252 260 276 326	182582217060
STPT(10)	2356764138030994607	0 2 24 26 42 44 60 62 84 86	403879989900
SPT(16)	2356764498801999877	0 40 52 82 100 154 196 216 310 330 372 426 444 474 486 526	764650995170
SPT(16)	2356764790105009301	0 2 20 62 132 156 180 210 218 248 272 296 366 408 426 428	1055954004594