Prime p₀= 2396098924290870437 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 28 2 40 2 178 2 10 2 4 2 (?)
a_n: 0 2 60 62 90 92 132 134 312 314 324 326 330 332
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: 332
Found by: [AF] Kalianthys
db: batch=81, k=14, 58 28 40 178 10 4

STPT(12)	2396097418140611789	0 2 30 32 42 44 48 50 60 62 90 92	-1506150258648
SPT(16)	2396097520008792421	0 40 42 90 118 120 126 150 208 232 238 240 268 316 318 358	-1404282078016
SPT(16)	2396097853334264873	0 68 84 98 110 146 164 188 336 360 378 414 426 440 456 524	-1070956605564
SPT(16)	2396097868646054369	0 90 110 170 174 192 224 332 342 450 482 500 504 564 584 674	-1055644816068
STPT(12)	2396098466708237279	0 2 30 32 60 62 72 74 102 104 132 134	-457582633158
SPT(16)	2396098825519419637	0 12 24 52 60 70 82 94 102 114 126 136 144 172 184 196	-98771450800
SPT(16)	2396099119845842699	0 12 80 110 114 144 150 164 228 242 248 278 282 312 380 392	195554972262
SPT(16)	2396100109582807763	0 6 38 48 80 108 126 146 210 230 248 276 308 318 350 356	1185291937326
SPT(16)	2396100166648039283	0 20 24 38 48 150 158 210 224 276 284 386 396 410 414 434	1242357168846
STPT(10)	2396100222694887827	0 2 24 26 42 44 60 62 84 86	1298404017390
SPT(16)	2396100255726205363	0 144 154 156 174 186 228 280 324 376 418 430 448 450 460 604	1331435334926