Prime p₀= 1451563134987756617 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 58 2 106 2 10 2 130 2 34 2 (?)
a_n: 0 2 12 14 72 74 180 182 192 194 324 326 360 362
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: 362
Found by: Theadalus
db: batch=78, k=14, 10 58 106 10 130 34

STPT(10)	1451562173768747039	0 2 18 20 30 32 42 44 60 62	-961219009578
SPT(16)	1451562177316664429	0 14 38 74 92 120 150 168 224 242 272 300 318 354 378 392	-957671092188
SPT(16)	1451562709606202527	0 70 120 132 154 162 166 180 196 210 214 222 244 256 306 376	-425381554090
SPT(16)	1451562882665830553	0 26 38 56 68 90 104 150 164 210 224 246 258 276 288 314	-252321926064
SPT(16)	1451562972268380143	0 14 54 74 78 98 116 144 170 198 216 236 240 260 300 314	-162719376474
STPT(10)	1451562985276150457	0 2 12 14 42 44 72 74 84 86	-149711606160
STPT(10)	1451563331734978841	0 2 36 38 78 80 120 122 156 158	196747222224
SPT(16)	1451563385655039793	0 16 34 48 66 108 154 166 168 180 226 268 286 300 318 334	250667283176
SPT(16)	1451563555604899039	0 10 18 52 78 114 130 162 220 252 268 304 330 364 372 382	420617142422
STPT(10)	1451563810541954531	0 2 36 38 78 80 120 122 156 158	675554197914
STPT(10)	1451564137277505257	0 2 30 32 42 44 54 56 84 86	1002289748640