Prime p₀= 2667638945409500747 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-FC] hl
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2667637706655239891	0 26 56 96 108 122 152 212 276 336 366 380 392 432 462 488	-1238754260856
STPT(10)	2667637796873539277	0 2 12 14 72 74 132 134 144 146	-1148535961470
SPT(16)	2667638009750174077	0 12 22 40 52 60 64 70 96 102 106 114 126 144 154 166	-935659326670
SPT(16)	2667638429103045913	0 54 118 124 160 166 210 300 334 424 468 474 510 516 580 634	-516306454834
SPT(16)	2667638742998042017	0 10 64 72 106 142 180 234 322 376 414 450 484 492 546 556	-202411458730
SPT(16)	2667638915345395213	0 36 46 60 66 88 96 136 138 178 186 208 214 228 238 274	-30064105534
SPT(16)	2667639046836405667	0 54 82 120 126 154 210 240 256 286 342 370 376 414 442 496	101426904920
STPT(10)	2667639174469019591	0 2 36 38 78 80 120 122 156 158	229059518844
SPT(16)	2667639194581398227	0 14 26 102 144 150 164 192 254 282 296 302 344 420 432 446	249171897480
SPT(16)	2667639409664228633	0 6 18 20 90 98 128 140 144 156 186 194 264 266 278 284	464254727886
STPT(10)	2667639548256243947	0 2 12 14 42 44 72 74 84 86	602846743200