Prime p₀= 2919615390435208457 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 16 2 58 2 10 2 118 2 46 2 (?)
a_n: 0 2 24 26 42 44 102 104 114 116 234 236 282 284
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=82, k=14, 22 16 58 10 118 46

STPT(10)	2919614063945608199	0 2 42 44 60 62 78 80 120 122	-1326489600258
SPT(16)	2919614677980511967	0 2 24 30 32 54 56 86 180 210 212 234 236 242 264 266	-712454696490
SPT(16)	2919614723213553571	0 10 66 112 126 150 160 166 192 198 208 232 246 292 348 358	-667221654886
SPT(16)	2919614920585707203	0 6 38 44 80 84 114 126 188 200 230 234 270 276 308 314	-469849501254
SPT(16)	2919615182710146187	0 4 40 46 60 82 100 106 120 126 144 166 180 186 222 226	-207725062270
STPT(10)	2919615336088584311	0 2 6 8 48 50 90 92 96 98	-54346624146
STPT(10)	2919615773264730539	0 2 18 20 30 32 42 44 60 62	382829522082
STPT(10)	2919615811251057767	0 2 30 32 60 62 90 92 120 122	420815849310
SPT(16)	2919615866576666233	0 78 100 138 168 190 228 240 256 268 306 328 358 396 418 496	476141457776
TPT(14)	2919615935392633439	0 2 30 32 72 74 132 134 210 212 222 224 228 230	544957424982
STPT(10)	2919616243696902929	0 2 48 50 90 92 132 134 180 182	853261694472