Prime p₀= 2626126457534117567 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: [SG-2W]Kurzer
db: batch=82, k=10, 2 28 2 10 2

STPT(12)	2626125361598676101	0 2 36 38 90 92 126 128 180 182 216 218	-1095935441466
SPT(16)	2626125368289020701	0 12 36 42 48 76 108 136 192 220 252 280 286 292 316 328	-1089245096866
SPT(16)	2626125585092778143	0 30 56 60 68 110 114 140 144 170 174 216 224 228 254 284	-872441339424
SPT(16)	2626125739342649437	0 12 46 54 90 102 124 160 186 222 244 256 292 300 334 346	-718191468130
SPT(16)	2626126043139277867	0 6 12 34 60 90 100 126 130 156 166 196 222 244 250 256	-414394839700
SPT(16)	2626126100266699729	0 4 18 52 112 138 142 154 168 180 184 210 270 304 318 322	-357267417838
SPT(16)	2626127059636614097	0 4 36 40 70 106 126 204 232 310 330 366 396 400 432 436	602102496530
SPT(16)	2626127322270117649	0 12 48 84 90 162 168 172 240 244 250 322 328 364 400 412	864736000082
STPT(10)	2626127461890994769	0 2 42 44 120 122 198 200 240 242	1004356877202
SPT(16)	2626127667754166161	0 10 88 108 136 138 238 306 502 570 670 672 700 720 798 808	1210220048594
SPT(16)	2626127827210746973	0 66 168 190 270 346 394 400 444 450 498 574 654 676 778 844	1369676629406