Prime p₀= 2113051155241332989 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 70 2 4 2 82 2 46 2 10 2 (?)
a_n: 0 2 60 62 132 134 138 140 222 224 270 272 282 284
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: 284
Found by: Landjunge
db: batch=80, k=14, 58 70 4 82 46 10

SPT(16)	2113049923889839709	0 14 20 24 32 84 92 98 144 150 158 210 218 222 228 242	-1231351493280
TPT(14)	2113050394271242211	0 2 36 38 60 62 78 80 156 158 168 170 210 212	-760970090778
STPT(10)	2113050515836935089	0 2 18 20 30 32 42 44 60 62	-639404397900
SPT(16)	2113050821305145171	0 20 36 48 50 80 146 150 158 162 228 258 260 272 288 308	-333936187818
STPT(10)	2113051105256154377	0 2 30 32 42 44 54 56 84 86	-49985178612
SPT(16)	2113051125636947407	0 4 16 22 30 94 114 120 136 142 162 226 234 240 252 256	-29604385582
STPT(10)	2113051475984857907	0 2 42 44 72 74 102 104 144 146	320743524918
STPT(10)	2113051538519106137	0 2 30 32 120 122 210 212 240 242	383277773148
STPT(10)	2113051759605415997	0 2 30 32 42 44 54 56 84 86	604364083008
SPT(16)	2113051995183759691	0 40 70 78 90 96 196 202 216 222 322 328 340 348 378 418	839942426702
SPT(16)	2113052204756641397	0 6 20 86 96 132 156 162 230 236 260 296 306 372 386 392	1049515308408