Prime p₀= 1285909951343467727 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 196 2 10 2 28 2 58 2 10 2 (?)
a_n: 0 2 12 14 210 212 222 224 252 254 312 314 324 326
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: 326
Found by: Cruncher Pete
db: batch=77, k=14, 10 196 10 28 58 10

SPT(16)	1285908432170437013	0 24 26 44 54 60 80 108 116 144 164 170 180 198 200 224	-1519173030714
SPT(16)	1285908522973791803	0 8 50 60 78 84 104 108 140 144 164 170 188 198 240 248	-1428369675924
STPT(10)	1285908777421658417	0 2 30 32 42 44 54 56 84 86	-1173921809310
TPT(14)	1285909231959516119	0 2 48 50 72 74 132 134 198 200 258 260 312 314	-719383951608
SPT(16)	1285909552474518619	0 22 30 70 72 118 148 204 238 294 324 370 372 412 420 442	-398868949108
SPT(16)	1285909904041155647	0 2 60 86 104 114 126 182 234 290 302 312 330 356 414 416	-47302312080
SPT(16)	1285910026794141641	0 90 102 126 158 200 222 242 246 266 288 330 362 386 398 488	75450673914
STPT(10)	1285910343816434459	0 2 12 14 30 32 48 50 60 62	392472966732
STPT(10)	1285910369235155327	0 2 42 44 72 74 102 104 144 146	417891687600
SPT(16)	1285910671341861199	0 40 48 60 70 84 90 112 180 202 208 222 232 244 252 292	719998393472
SPT(16)	1285911049092544271	0 12 60 78 108 150 152 192 218 258 260 302 332 350 398 410	1097749076544