Prime p₀= 865689292370042477 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 34 2 40 2 40 2 34 2 22 2 (?)
a_n: 0 2 84 86 120 122 162 164 204 206 240 242 264 266
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 266
Found by: [AF>Libristes] Dudumomo
db: batch=73, k=14, 82 34 40 40 34 22

SPT(16)	865688471360998931	0 6 48 72 86 92 98 122 126 150 156 162 176 200 242 248	-821009043546
SPT(16)	865688477806161137	0 6 30 42 50 62 86 90 116 120 144 156 164 176 200 206	-814563881340
STPT(10)	865688786393592167	0 2 30 32 42 44 54 56 84 86	-505976450310
STPT(10)	865688888083494227	0 2 30 32 42 44 54 56 84 86	-404286548250
STPT(10)	865688999434091891	0 2 36 38 78 80 120 122 156 158	-292935950586
SPT(16)	865689074056142053	0 16 34 64 130 148 180 190 264 274 306 324 390 420 438 454	-218313900424
STPT(10)	865689292370042561	0 2 36 38 78 80 120 122 156 158	84
STPT(10)	865689601153944839	0 2 18 20 30 32 42 44 60 62	308783902362
SPT(16)	865689941156903963	0 44 50 66 78 86 114 140 144 170 198 206 218 234 240 284	648786861486
STPT(10)	865690429005208757	0 2 30 32 42 44 54 56 84 86	1136635166280
SPT(16)	865690546730066389	0 54 70 114 138 150 178 222 250 294 322 334 358 402 418 472	1254360023912