Prime p₀= 2288506501522593971 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 10 2 28 2 70 2 64 2 40 2 (?)
a_n: 0 2 36 38 48 50 78 80 150 152 216 218 258 260
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: 260
Found by: herby44
db: batch=81, k=14, 34 10 28 70 64 40

STPT(10)	2288505081835115291	0 2 36 38 78 80 120 122 156 158	-1419687478680
SPT(16)	2288505315990742811	0 2 6 26 36 56 78 92 96 110 132 152 162 182 186 188	-1185531851160
STPT(10)	2288505875946840371	0 2 6 8 48 50 90 92 96 98	-625575753600
TPT(14)	2288506021909386899	0 2 48 50 90 92 138 140 222 224 228 230 270 272	-479613207072
SPT(16)	2288506191541788103	0 6 28 46 48 88 100 120 124 144 156 196 198 216 238 244	-309980805868
SPT(16)	2288506245306766679	0 38 54 110 140 194 228 270 398 440 474 528 558 614 630 668	-256215827292
STPT(10)	2288506556737703957	0 2 54 56 72 74 90 92 144 146	55215109986
SPT(16)	2288506682828122777	0 4 40 42 52 70 82 150 196 264 276 294 304 306 342 346	181305528806
SPT(16)	2288506764132237377	0 32 50 56 72 92 120 126 236 242 270 290 306 312 330 362	262609643406
STPT(10)	2288506950854274947	0 2 24 26 42 44 60 62 84 86	449331680976
TPT(14)	2288507421054129179	0 2 132 134 210 212 240 242 258 260 288 290 372 374	919531535208