Prime p₀= 2350096233774719459 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 76 2 10 2 40 2 166 2 76 2 (?)
a_n: 0 2 30 32 108 110 120 122 162 164 330 332 408 410
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: 410
Found by: ChUcK
db: batch=81, k=14, 28 76 10 40 166 76

SPT(16)	2350095401804753689	0 22 28 42 64 72 100 102 130 132 160 168 190 204 210 232	-831969965770
SPT(16)	2350095488742812039	0 8 50 60 84 140 144 150 158 164 168 224 248 258 300 308	-745031907420
SPT(16)	2350095634925293769	0 42 48 108 122 132 180 224 348 392 440 450 464 524 530 572	-598849425690
STPT(10)	2350095737237031071	0 2 36 38 78 80 120 122 156 158	-496537688388
SPT(16)	2350095965342637641	0 8 12 68 90 162 182 192 206 216 236 308 330 386 390 398	-268432081818
SPT(16)	2350096202805248353	0 18 40 46 84 120 136 154 180 198 214 250 288 294 316 334	-30969471106
STPT(10)	2350097145370290857	0 2 90 92 102 104 114 116 204 206	911595571398
SPT(16)	2350097154732953161	0 16 22 40 42 46 76 82 120 126 156 160 162 180 186 202	920958233702
SPT(16)	2350097607296088437	0 6 32 56 60 90 120 126 146 152 182 212 216 240 266 272	1373521368978
SPT(16)	2350097915085255521	0 2 26 36 50 60 68 102 236 270 278 288 302 312 336 338	1681310536062
STPT(10)	2350097920709990819	0 2 18 20 30 32 42 44 60 62	1686935271360