Prime p₀= 1057103359357923047 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 16 2 82 2 28 2 76 2 28 2 (?)
a_n: 0 2 42 44 60 62 144 146 174 176 252 254 282 284
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: 284
Found by: Theadalus
db: batch=76, k=14, 40 16 82 28 76 28

SPT(16)	1057102601951749511	0 48 60 90 110 132 152 186 212 246 266 288 308 338 350 398	-757406173536
SPT(16)	1057102645168043609	0 14 38 48 78 108 144 192 200 248 284 314 344 354 378 392	-714189879438
SPT(16)	1057102653737579783	0 24 54 66 90 138 144 164 210 230 236 284 308 320 350 374	-705620343264
STPT(10)	1057102784183855291	0 2 36 38 78 80 120 122 156 158	-575174067756
SPT(16)	1057103027936426477	0 12 42 56 62 86 116 152 174 210 240 264 270 284 314 326	-331421496570
SPT(16)	1057103338405724387	0 12 30 66 96 114 122 126 290 294 302 320 350 386 404 416	-20952198660
STPT(10)	1057103423614593539	0 2 18 20 30 32 42 44 60 62	64256670492
SPT(16)	1057103633611658783	0 36 38 50 54 104 138 140 174 176 210 260 264 276 278 314	274253735736
SPT(16)	1057103739548559503	0 38 54 114 128 164 168 180 374 386 390 426 440 500 516 554	380190636456
STPT(10)	1057104179749963529	0 2 30 32 60 62 90 92 120 122	820392040482
SPT(16)	1057104267200934889	0 10 24 48 54 58 84 94 198 208 234 238 244 268 282 292	907843011842