Prime p₀= 1993624309643934551 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 28 2 100 2 76 2 40 2 16 2 (?)
a_n: 0 2 6 8 36 38 138 140 216 218 258 260 276 278
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: 278
Found by: Landjunge
db: batch=80, k=14, 4 28 100 76 40 16

SPT(16)	1993622454938075369	0 38 48 72 84 114 122 132 140 150 158 188 200 224 234 272	-1854705859182
STPT(10)	1993622773434251381	0 2 36 38 78 80 120 122 156 158	-1536209683170
SPT(16)	1993622992559638127	0 84 86 122 162 176 224 284 342 402 450 464 504 540 542 626	-1317084296424
TPT(14)	1993623866201951999	0 2 78 80 108 110 138 140 162 164 168 170 198 200	-443441982552
STPT(10)	1993623899636570189	0 2 18 20 30 32 42 44 60 62	-410007364362
SPT(16)	1993624102690472719	0 10 24 34 78 88 90 132 190 232 234 244 288 298 312 322	-206953461832
STPT(10)	1993624442229546821	0 2 36 38 78 80 120 122 156 158	132585612270
SPT(16)	1993624582853097127	0 6 42 64 70 76 112 114 202 204 240 246 252 274 310 316	273209162576
SPT(16)	1993624836799455841	0 16 22 36 70 142 148 156 202 210 216 288 322 336 342 358	527155521290
SPT(16)	1993625149688921477	0 26 32 54 56 60 86 102 134 150 176 180 182 204 210 236	840044986926
STPT(10)	1993625229101814401	0 2 36 38 78 80 120 122 156 158	919457879850