Prime p₀= 2529924268881207971 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 40 2 10 2 88 2 28 2 64 2 (?)
a_n: 0 2 36 38 78 80 90 92 180 182 210 212 276 278
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: 278
Found by: JohnMD
db: batch=82, k=14, 34 40 10 88 28 64

SPT(16)	2529922307601110941	0 12 16 18 78 100 102 112 156 166 168 190 250 252 256 268	-1961280097030
STPT(10)	2529922904886299771	0 2 36 38 78 80 120 122 156 158	-1363994908200
STPT(10)	2529923010995402327	0 2 30 32 42 44 54 56 84 86	-1257885805644
SPT(16)	2529923991707315989	0 10 30 34 88 90 118 130 198 210 238 240 294 298 318 328	-277173891982
TPT(14)	2529924017060604209	0 2 42 44 48 50 108 110 138 140 192 194 222 224	-251820603762
SPT(16)	2529924240908623189	0 12 30 54 64 72 78 82 180 184 190 198 208 232 250 262	-27972584782
STPT(10)	2529924605696152079	0 2 18 20 30 32 42 44 60 62	336814944108
TPT(14)	2529924633307861121	0 2 36 38 48 50 90 92 126 128 246 248 276 278	364426653150
STPT(10)	2529924825564390647	0 2 30 32 42 44 54 56 84 86	556683182676
SPT(16)	2529924896689393829	0 54 90 132 134 164 222 230 294 302 360 390 392 434 470 524	627808185858
STPT(10)	2529925122933524681	0 2 66 68 138 140 210 212 276 278	854052316710