Prime p₀= 2397236009481691877 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 40 2 10 2 28 2 34 2 40 2 (?)
a_n: 0 2 90 92 132 134 144 146 174 176 210 212 252 254
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: 254
Found by: Marcel-Berlin
db: batch=81, k=14, 88 40 10 28 34 40

STPT(10)	2397233179925265347	0 2 12 14 42 44 72 74 84 86	-2829556426530
SPT(16)	2397233355280818683	0 14 18 38 54 56 98 110 114 126 168 170 186 206 210 224	-2654200873194
TPT(14)	2397233440852134737	0 2 114 116 150 152 180 182 240 242 264 266 282 284	-2568629557140
SPT(16)	2397234001108035007	0 22 42 52 64 70 84 90 94 100 114 120 132 142 162 184	-2008373656870
SPT(16)	2397234249440797171	0 18 28 52 58 108 126 130 138 142 160 210 216 240 250 268	-1760040894706
STPT(10)	2397235436721457271	0 2 36 38 78 80 120 122 156 158	-572760234606
SPT(16)	2397236822741447749	0 12 30 52 58 88 90 132 220 262 264 294 300 322 340 352	813259755872
SPT(16)	2397236854051470451	0 30 48 82 108 168 198 250 270 322 352 412 438 472 490 520	844569778574
STPT(12)	2397236882990234447	0 2 30 32 42 44 180 182 192 194 222 224	873508542570
SPT(16)	2397237020705252797	0 16 52 54 102 120 154 186 190 222 256 274 322 324 360 376	1011223560920
SPT(16)	2397237168369097759	0 18 22 48 94 102 118 162 220 264 280 288 334 360 364 382	1158887405882