Prime p₀= 2397237225336861527 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 40 2 28 2 4 2 112 2 4 2 (?)
a_n: 0 2 102 104 144 146 174 176 180 182 294 296 300 302
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: 302
Found by: Odd-Rod
db: batch=81, k=14, 100 40 28 4 112 4

TPT(14)	2397236009481691877	0 2 90 92 132 134 144 146 174 176 210 212 252 254	-1215855169650
SPT(16)	2397236822741447749	0 12 30 52 58 88 90 132 220 262 264 294 300 322 340 352	-402595413778
SPT(16)	2397236854051470451	0 30 48 82 108 168 198 250 270 322 352 412 438 472 490 520	-371285391076
STPT(12)	2397236882990234447	0 2 30 32 42 44 180 182 192 194 222 224	-342346627080
SPT(16)	2397237020705252797	0 16 52 54 102 120 154 186 190 222 256 274 322 324 360 376	-204631608730
SPT(16)	2397237168369097759	0 18 22 48 94 102 118 162 220 264 280 288 334 360 364 382	-56967763768
SPT(16)	2397237549661217633	0 44 54 66 104 144 164 170 210 216 236 276 314 326 336 380	324324356106
SPT(16)	2397237835141896203	0 74 78 114 134 156 176 186 188 198 218 240 260 296 300 374	609805034676
SPT(16)	2397238032366510017	0 20 42 62 80 104 122 132 164 174 192 216 234 254 276 296	807029648490
SPT(16)	2397238090409802173	0 20 48 66 86 134 176 186 188 198 240 288 308 326 354 374	865072940646
STPT(10)	2397238503621388121	0 2 36 38 78 80 120 122 156 158	1278284526594