Prime p₀= 2842944789967792691 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 34 2 112 2 16 2 136 2 22 2 (?)
a_n: 0 2 60 62 96 98 210 212 228 230 366 368 390 392
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: 392
Found by: [SG-FC] hl
db: batch=82, k=14, 58 34 112 16 136 22

STPT(10)	2842943449267331477	0 2 12 14 42 44 72 74 84 86	-1340700461214
STPT(10)	2842943539979082497	0 2 24 26 42 44 60 62 84 86	-1249988710194
TPT(14)	2842943711267977547	0 2 24 26 42 44 102 104 150 152 222 224 294 296	-1078699815144
SPT(16)	2842943934282201181	0 22 60 78 112 150 168 172 186 190 208 246 280 298 336 358	-855685591510
TPT(14)	2842944522733058207	0 2 72 74 90 92 102 104 114 116 144 146 204 206	-267234734484
SPT(16)	2842944627710290591	0 36 42 76 102 118 120 132 166 178 180 196 222 256 262 298	-162257502100
TPT(14)	2842945026173269949	0 2 120 122 138 140 162 164 222 224 252 254 330 332	236205477258
SPT(16)	2842945525173085789	0 42 72 94 112 160 184 190 204 210 234 282 300 322 352 394	735205293098
STPT(10)	2842945967507045987	0 2 30 32 72 74 114 116 144 146	1177539253296
STPT(10)	2842946565536383511	0 2 6 8 18 20 30 32 36 38	1775568590820
SPT(16)	2842946869313714393	0 20 54 66 104 138 164 170 234 240 266 300 338 350 384 404	2079345921702