Prime p₀= 1294475070438329831 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Cruncher Pete
db: batch=77, k=10, 2 4 2 10 2

SPT(16)	1294474588962275143	0 16 24 76 96 100 108 126 148 166 174 178 198 250 258 274	-481476054688
TPT(14)	1294474650107460551	0 2 30 32 120 122 186 188 210 212 228 230 240 242	-420330869280
SPT(16)	1294474658787462727	0 70 82 106 130 144 154 190 246 282 292 306 330 354 366 436	-411650867104
STPT(10)	1294474673759647481	0 2 6 8 48 50 90 92 96 98	-396678682350
SPT(16)	1294474877028455099	0 42 54 80 84 90 102 132 152 182 194 200 204 230 242 284	-193409874732
SPT(16)	1294475052301341181	0 6 46 88 112 162 192 220 228 256 286 336 360 402 442 448	-18136988650
SPT(16)	1294475235566386597	0 10 22 54 70 96 142 166 180 204 250 276 292 324 336 346	165128056766
SPT(16)	1294475282347686233	0 14 18 26 78 84 110 224 240 354 380 386 438 446 450 464	211909356402
SPT(16)	1294475336688522319	0 48 60 88 102 112 130 168 322 360 378 388 402 430 442 490	266250192488
SPT(16)	1294475383650768791	0 38 62 72 108 110 132 192 296 356 378 380 416 426 450 488	313212438960
SPT(16)	1294475546539012693	0 36 58 64 66 76 136 154 240 258 318 328 330 336 358 394	476100682862