Prime p₀= 1044698952076722407 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 64 2 58 2 160 2 70 2 16 2 (?)
a_n: 0 2 84 86 150 152 210 212 372 374 444 446 462 464
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: 464
Found by: Theadalus
db: batch=76, k=14, 82 64 58 160 70 16

SPT(13)	1044696798000969391	0 42 78 90 108 120 150 180 192 210 222 258 300	-2154075753016
SPT(16)	1044697052872689443	0 30 36 50 66 80 84 164 216 296 300 314 330 344 350 380	-1899204032964
SPT(16)	1044697252860549173	0 6 8 20 36 74 86 156 158 228 240 278 294 306 308 314	-1699216173234
SPT(16)	1044697317441808309	0 24 34 52 82 90 94 100 252 258 262 270 300 318 328 352	-1634634914098
SPT(16)	1044698144022585769	0 10 12 28 70 72 94 132 160 198 220 222 264 280 282 292	-808054136638
SPT(16)	1044698226071330357	0 2 36 102 116 120 140 156 176 192 212 216 230 296 330 332	-726005392050
TPT(14)	1044699270210126887	0 2 12 14 42 44 54 56 144 146 180 182 234 236	318133404480
SPT(16)	1044699376130325281	0 2 32 42 90 186 230 266 276 312 356 452 500 510 540 542	424053602874
SPT(16)	1044699505300498057	0 30 36 66 84 112 126 162 184 220 234 262 280 310 316 346	553223775650
STPT(10)	1044699753898766267	0 2 30 32 42 44 54 56 84 86	801822043860
STPT(10)	1044699790148940269	0 2 42 44 120 122 198 200 240 242	838072217862