Prime p₀= 1425834600033129257 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 28 2 16 2 40 2 136 2 40 2 (?)
a_n: 0 2 24 26 54 56 72 74 114 116 252 254 294 296
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: 296
Found by: arkiss
db: batch=78, k=14, 22 28 16 40 136 40

STPT(10)	1425833146979296787	0 2 30 32 42 44 54 56 84 86	-1453053832470
SPT(16)	1425833150628417239	0 2 20 48 78 90 128 132 170 174 212 224 254 282 300 302	-1449404712018
SPT(16)	1425833196158361647	0 42 54 86 104 174 216 230 276 290 332 402 420 452 464 506	-1403874767610
SPT(18)	1425833285985659717	0 14 90 116 140 192 210 216 234 242 260 266 284 336 360 386 462 476	-1314047469540
STPT(10)	1425833896211028077	0 2 54 56 72 74 90 92 144 146	-703822101180
SPT(16)	1425834491631813251	0 6 62 66 102 120 156 162 170 176 212 230 266 270 326 332	-108401316006
SPT(16)	1425834642112033273	0 84 94 96 106 126 130 136 198 204 208 228 238 240 250 334	42078904016
SPT(16)	1425834684804003143	0 18 48 90 158 164 186 234 260 308 330 336 404 446 476 494	84770873886
SPT(16)	1425834922852068769	0 22 78 108 124 130 222 234 358 370 462 468 484 514 570 592	322818939512
STPT(10)	1425835319805541037	0 2 30 32 42 44 54 56 84 86	719772411780
STPT(10)	1425835340637341651	0 2 96 98 108 110 120 122 216 218	740604212394