Prime p₀= 817158625067522807 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: [SG]FX
db: batch=73, k=10, 2 22 2 16 2

SPT(16)	817157813554192469	0 30 38 98 108 140 150 168 170 188 198 230 240 300 308 338	-811513330338
STPT(10)	817158004813564229	0 2 12 14 30 32 48 50 60 62	-620253958578
SPT(16)	817158304279338379	0 10 24 30 40 72 78 108 154 184 190 222 232 238 252 262	-320788184428
SPT(16)	817158363541025959	0 18 24 34 40 48 144 190 192 238 334 342 348 358 364 382	-261526496848
SPT(16)	817158484655499083	0 14 18 66 74 138 158 168 206 216 236 300 308 356 360 374	-140412023724
SPT(20)	817158539871382669	0 10 24 30 34 70 100 114 204 220 252 268 358 372 402 438 442 448 462 472	-85196140138
TPT(14)	817158681288178079	0 2 12 14 30 32 90 92 102 104 132 134 138 140	56220655272
TPT(14)	817158740620308407	0 2 60 62 72 74 102 104 114 116 192 194 222 224	115552785600
SPT(16)	817158744302561681	0 42 48 62 72 96 128 138 140 150 182 206 216 230 236 278	119235038874
STPT(10)	817158830941564667	0 2 84 86 132 134 180 182 264 266	205874041860
SPT(18)	817159013147423371	0 18 22 28 78 88 96 138 150 208 220 262 270 280 330 336 340 358	388079900564