Prime p₀= 1147256490460029749 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 28 2 28 2 10 2 64 2 28 2 (?)
a_n: 0 2 60 62 90 92 120 122 132 134 198 200 228 230
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: 230
Found by: Alnitak2019
db: batch=76, k=14, 58 28 28 10 64 28

STPT(10)	1147253970541783397	0 2 42 44 72 74 102 104 144 146	-2519918246352
SPT(16)	1147254449871209557	0 34 70 94 150 160 216 232 264 280 336 346 402 426 462 496	-2040588820192
STPT(10)	1147254774766281191	0 2 6 8 48 50 90 92 96 98	-1715693748558
SPT(16)	1147255197970670119	0 4 22 24 58 100 102 114 148 160 162 204 238 240 258 262	-1292489359630
SPT(18)	1147256325894310909	0 18 34 82 90 190 258 298 300 322 324 364 432 532 540 588 604 622	-164565718840
TPT(14)	1147256478348231497	0 2 30 32 42 44 162 164 204 206 264 266 294 296	-12111798252
SPT(16)	1147256607449269777	0 64 70 96 102 124 204 210 256 262 342 364 370 396 402 466	116989240028
SPT(16)	1147256816818861751	0 48 92 150 168 170 210 228 230 248 288 290 308 366 410 458	326358832002
SPT(16)	1147257203490180373	0 10 66 70 78 100 108 126 148 166 174 196 204 208 264 274	713030150624
STPT(10)	1147257245226603629	0 2 18 20 30 32 42 44 60 62	754766573880
STPT(10)	1147257689934820337	0 2 30 32 42 44 54 56 84 86	1199474790588