Prime p₀= 2855796229985624921 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 40 2 28 2 106 2 52 2 4 2 (?)
a_n: 0 2 6 8 48 50 78 80 186 188 240 242 246 248
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: 248
Found by: Landjunge
db: batch=82, k=14, 4 40 28 106 52 4

STPT(10)	2855793292691408981	0 2 6 8 18 20 30 32 36 38	-2937294215940
SPT(16)	2855793304181547673	0 60 94 126 136 138 166 196 198 228 256 258 268 300 334 394	-2925804077248
SPT(16)	2855793650220687061	0 12 58 70 100 172 196 216 322 342 366 438 468 480 526 538	-2579764937860
STPT(10)	2855793731928045911	0 2 36 38 78 80 120 122 156 158	-2498057579010
STPT(10)	2855795576259326759	0 2 42 44 60 62 78 80 120 122	-653726298162
SPT(16)	2855795849934800537	0 14 20 24 30 50 92 114 140 162 204 224 230 234 240 254	-380050824384
SPT(16)	2855796241254136783	0 54 70 88 154 210 214 228 256 270 274 330 396 414 430 484	11268511862
SPT(16)	2855796344395454297	0 6 14 36 60 84 90 96 104 110 116 140 164 186 194 200	114409829376
SPT(16)	2855796504986284577	0 2 50 84 104 120 170 212 222 264 314 330 350 384 432 434	275000659656
STPT(10)	2855797141212755939	0 2 42 44 90 92 138 140 180 182	911227131018
STPT(10)	2855797473006367871	0 2 36 38 78 80 120 122 156 158	1243020742950