Prime p₀= 1257940814514311021 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 40 2 58 2 28 2 148 2 4 2 (?)
a_n: 0 2 48 50 90 92 150 152 180 182 330 332 336 338
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: 338
Found by: stoneageman
db: batch=77, k=14, 46 40 58 28 148 4

STPT(10)	1257939772176916847	0 2 42 44 72 74 102 104 144 146	-1042337394174
SPT(16)	1257939891137712301	0 22 28 30 60 78 120 126 172 178 220 238 268 270 276 298	-923376598720
SPT(16)	1257940201539224347	0 6 34 60 72 84 102 124 132 154 172 184 196 222 250 256	-612975086674
STPT(10)	1257940258690725299	0 2 18 20 30 32 42 44 60 62	-555823585722
STPT(10)	1257940273854728279	0 2 12 14 30 32 48 50 60 62	-540659582742
SPT(16)	1257940596250234289	0 8 30 50 68 72 110 180 242 312 350 354 372 392 414 422	-218264076732
SPT(16)	1257940873049537711	0 6 20 42 48 60 80 86 102 108 128 140 146 168 182 188	58535226690
SPT(13)	1257940894899790559	0 24 30 42 72 90 162 234 252 282 294 300 324	80385479538
STPT(10)	1257940950351729911	0 2 36 38 78 80 120 122 156 158	135837418890
TPT(14)	1257941058650660939	0 2 18 20 60 62 90 92 102 104 240 242 252 254	244136349918
STPT(10)	1257941154754374047	0 2 12 14 42 44 72 74 84 86	340240063026