Prime p₀= 2117157816911080589 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 46 2 136 2 10 2 16 2 10 2 (?)
a_n: 0 2 42 44 90 92 228 230 240 242 258 260 270 272
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: 272
Found by: Landjunge
db: batch=80, k=14, 40 46 136 10 16 10

STPT(10)	2117156202552721541	0 2 30 32 78 80 126 128 156 158	-1614358359048
SPT(16)	2117156243361494017	0 22 30 42 60 70 100 112 114 126 156 166 184 196 204 226	-1573549586572
SPT(16)	2117156430720868331	0 62 72 90 98 126 156 168 200 212 242 270 278 296 306 368	-1386190212258
TPT(14)	2117157412938326609	0 2 12 14 42 44 48 50 90 92 132 134 240 242	-403972753980
SPT(16)	2117157495630486913	0 4 16 18 64 106 108 148 156 196 198 240 286 288 300 304	-321280593676
STPT(10)	2117157520996638059	0 2 42 44 60 62 78 80 120 122	-295914442530
STPT(10)	2117158660898022977	0 2 42 44 72 74 102 104 144 146	843986942388
STPT(10)	2117158827801412667	0 2 24 26 42 44 60 62 84 86	1010890332078
SPT(16)	2117159014543021121	0 2 38 60 162 168 210 242 246 278 320 326 428 450 486 488	1197631940532
STPT(10)	2117159135964478787	0 2 24 26 42 44 60 62 84 86	1319053398198
SPT(16)	2117159231335742849	0 14 72 80 90 114 134 138 164 168 188 212 222 230 288 302	1414424662260