Prime p₀= 1077329032909985507 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 166 2 76 2 40 2 46 2 10 2 (?)
a_n: 0 2 84 86 252 254 330 332 372 374 420 422 432 434
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: 434
Found by: szymmirr
db: batch=76, k=14, 82 166 76 40 46 10

SPT(16)	1077327667042583783	0 50 68 78 114 140 150 170 234 254 264 290 326 336 354 404	-1365867401724
SPT(16)	1077327741865001839	0 4 34 60 64 78 84 112 210 238 244 258 262 288 318 322	-1291044983668
TPT(14)	1077327745606736537	0 2 60 62 132 134 174 176 210 212 222 224 300 302	-1287303248970
STPT(10)	1077328041012502931	0 2 36 38 78 80 120 122 156 158	-991897482576
STPT(10)	1077328134129247697	0 2 30 32 72 74 114 116 144 146	-898780737810
SPT(16)	1077329012005150859	0 14 50 62 92 164 198 204 218 224 258 330 360 372 408 422	-20904834648
SPT(16)	1077329161606509121	0 18 48 60 76 88 102 112 126 136 150 162 178 190 220 238	128696523614
SPT(16)	1077329230367761589	0 12 30 54 122 170 194 228 344 378 402 450 518 542 560 572	197457776082
SPT(16)	1077329431314356281	0 10 22 42 48 90 96 136 162 202 208 250 256 276 288 298	398404370774
STPT(10)	1077329460368881631	0 2 6 8 18 20 30 32 36 38	427458896124
STPT(10)	1077329748707035277	0 2 24 26 42 44 60 62 84 86	715797049770