Prime p₀= 2273137440963776867 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Orange Kid
db: batch=81, k=10, 2 28 2 10 2

STPT(10)	2273135029050318581	0 2 30 32 78 80 126 128 156 158	-2411913458286
SPT(16)	2273135122291164457	0 16 42 46 84 100 102 106 210 214 216 232 270 274 300 316	-2318672612410
STPT(10)	2273135444128408799	0 2 18 20 30 32 42 44 60 62	-1996835368068
STPT(10)	2273135510839378481	0 2 6 8 18 20 30 32 36 38	-1930124398386
SPT(16)	2273136394254538297	0 16 34 36 84 150 156 172 174 190 196 262 310 312 330 346	-1046709238570
SPT(16)	2273137245946291121	0 36 60 66 80 176 182 206 312 336 342 438 452 458 482 518	-195017485746
SPT(16)	2273137599962451169	0 10 30 54 58 94 114 142 360 388 408 444 448 472 492 502	158998674302
SPT(16)	2273137747189444573	0 58 70 124 126 184 204 226 228 250 270 328 330 384 396 454	306225667706
SPT(16)	2273137850264270777	0 14 62 72 162 194 210 236 240 266 282 314 404 414 462 476	409300493910
SPT(16)	2273137874923242737	0 12 42 54 60 62 92 116 120 144 174 176 182 194 224 236	433959465870
SPT(16)	2273138217673888321	0 12 82 96 102 126 148 150 208 210 232 256 262 276 346 358	776710111454