Prime p₀= 1137770034142236587 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 106 2 28 2 28 2 118 2 10 2 (?)
a_n: 0 2 72 74 180 182 210 212 240 242 360 362 372 374
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: 374
Found by: Theadalus
db: batch=76, k=14, 70 106 28 28 118 10

STPT(10)	1137768345402337067	0 2 12 14 42 44 72 74 84 86	-1688739899520
STPT(10)	1137768997108185227	0 2 30 32 60 62 90 92 120 122	-1037034051360
STPT(10)	1137769046287474961	0 2 6 8 48 50 90 92 96 98	-987854761626
SPT(16)	1137769131623232307	0 30 34 36 40 82 84 90 106 112 114 156 160 162 166 196	-902519004280
SPT(16)	1137769169623474331	0 20 42 48 62 72 80 98 132 150 158 168 182 188 210 230	-864518762256
SPT(16)	1137769319496504337	0 12 40 70 76 84 100 112 144 156 172 180 186 216 244 256	-714645732250
STPT(10)	1137770611089582047	0 2 30 32 42 44 54 56 84 86	576947345460
SPT(16)	1137770658018438349	0 10 52 78 132 154 162 190 252 280 288 310 364 390 432 442	623876201762
SPT(16)	1137770661473138339	0 98 140 150 164 170 248 254 258 264 342 348 362 372 414 512	627330901752
SPT(16)	1137771023750783557	0 136 192 196 210 252 256 262 270 276 280 322 336 340 396 532	989608546970
SPT(16)	1137771295154485441	0 16 30 52 126 150 168 190 198 220 238 262 336 358 372 388	1261012248854