Prime p₀= 1033349653759512371 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 16 2 88 2 40 2 58 2 10 2 (?)
a_n: 0 2 18 20 36 38 126 128 168 170 228 230 240 242
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: 242
Found by: stoneageman
db: batch=76, k=14, 16 16 88 40 58 10

SPT(16)	1033348758530771047	0 16 46 96 100 144 184 214 222 252 292 336 340 390 420 436	-895228741324
SPT(16)	1033348944254957507	0 42 50 56 92 116 134 156 170 192 210 234 270 276 284 326	-709504554864
SPT(16)	1033349056917274597	0 12 16 34 42 64 76 90 106 120 132 154 162 180 184 196	-596842237774
SPT(16)	1033349178426492197	0 20 50 56 72 114 144 186 200 242 272 314 330 336 366 386	-475333020174
STPT(10)	1033349431817392511	0 2 6 8 48 50 90 92 96 98	-221942119860
STPT(10)	1033349486779661507	0 2 30 32 42 44 54 56 84 86	-166979850864
STPT(10)	1033350116047785071	0 2 6 8 48 50 90 92 96 98	462288272700
SPT(16)	1033350129660758093	0 30 66 86 90 120 156 164 216 224 260 290 294 314 350 380	475901245722
STPT(10)	1033350416275540577	0 2 30 32 42 44 54 56 84 86	762516028206
STPT(10)	1033350696677206937	0 2 30 32 42 44 54 56 84 86	1042917694566
STPT(10)	1033350868934435717	0 2 12 14 42 44 72 74 84 86	1215174923346