Prime p₀= 762423825283118147 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 40 2 28 2 16 2 10 2 124 2 (?)
a_n: 0 2 42 44 84 86 114 116 132 134 144 146 270 272
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: Laurent Cheylat
db: batch=73, k=14, 40 40 28 16 10 124

TPT(14)	762422544634149821	0 2 6 8 36 38 48 50 90 92 120 122 156 158	-1280648968326
SPT(16)	762422708276832329	0 12 42 62 104 108 122 138 194 210 224 228 270 290 320 332	-1117006285818
STPT(10)	762422782724854421	0 2 30 32 78 80 126 128 156 158	-1042558263726
SPT(16)	762423021073546643	0 6 24 38 56 116 128 140 174 186 198 258 276 290 308 314	-804209571504
STPT(10)	762423231905617937	0 2 12 14 72 74 132 134 144 146	-593377500210
STPT(10)	762423814970681621	0 2 6 8 18 20 30 32 36 38	-10312436526
STPT(10)	762423956042206721	0 2 6 8 48 50 90 92 96 98	130759088574
SPT(16)	762424006162081099	0 18 72 100 130 184 228 270 322 364 408 462 492 520 574 592	180878962952
SPT(16)	762424216801929127	0 90 102 112 120 130 160 172 234 246 276 286 294 304 316 406	391518810980
STPT(10)	762424244372583389	0 2 18 20 60 62 102 104 120 122	419089465242
STPT(10)	762424404298344257	0 2 30 32 42 44 54 56 84 86	579015226110