Prime p₀= 2260112588012947361 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 58 2 22 2 16 2 10 2 154 2 (?)
a_n: 0 2 66 68 126 128 150 152 168 170 180 182 336 338
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: 338
Found by: Landjunge
db: batch=81, k=14, 64 58 22 16 10 154

STPT(10)	2260110894659308277	0 2 30 32 72 74 114 116 144 146	-1693353639084
SPT(16)	2260110949022597953	0 18 46 64 84 90 118 126 148 156 184 190 210 228 256 274	-1638990349408
SPT(16)	2260111073317473679	0 10 18 30 34 78 90 94 168 172 184 228 232 244 252 262	-1514695473682
STPT(10)	2260111352804632511	0 2 30 32 60 62 90 92 120 122	-1235208314850
STPT(10)	2260111466649036821	0 2 6 8 18 20 30 32 36 38	-1121363910540
STPT(10)	2260112083775362247	0 2 30 32 72 74 114 116 144 146	-504237585114
SPT(16)	2260112625697088233	0 30 40 78 88 114 136 144 190 198 220 246 256 294 304 334	37684140872
SPT(16)	2260112762182852501	0 22 28 40 72 78 96 130 138 172 190 196 228 240 246 268	174169905140
SPT(16)	2260112791413137981	0 8 56 66 68 80 126 188 348 410 456 468 470 480 528 536	203400190620
STPT(10)	2260113111967110599	0 2 42 44 90 92 138 140 180 182	523954163238
STPT(10)	2260113377176875131	0 2 6 8 18 20 30 32 36 38	789163927770