Prime p₀= 2597721232631176037 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: JayPi
db: batch=82, k=10, 2 10 2 28 2

TPT(14)	2597719115586227327	0 2 102 104 120 122 132 134 210 212 312 314 324 326	-2117044948710
STPT(10)	2597719153229517671	0 2 6 8 48 50 90 92 96 98	-2079401658366
STPT(10)	2597719257452022791	0 2 6 8 48 50 90 92 96 98	-1975179153246
SPT(16)	2597719424684148937	0 16 40 42 112 154 156 204 292 340 342 384 454 456 480 496	-1807947027100
SPT(16)	2597721047704087091	0 12 62 72 120 140 150 182 246 278 288 308 356 366 416 428	-184927088946
SPT(16)	2597721184409354083	0 36 48 58 66 124 126 136 138 148 150 208 216 226 238 274	-48221821954
SPT(16)	2597721410929365659	0 2 12 24 38 92 98 108 224 234 240 294 308 320 330 332	178298189622
STPT(10)	2597721630172997957	0 2 30 32 72 74 114 116 144 146	397541821920
SPT(16)	2597722044252520253	0 66 78 96 98 110 158 164 180 186 234 246 248 266 278 344	811621344216
STPT(10)	2597722612904296781	0 2 78 80 138 140 198 200 276 278	1380273120744
STPT(10)	2597722669135401089	0 2 42 44 60 62 78 80 120 122	1436504225052