Prime p₀= 3034498825018858529 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 40 2 76 2 10 2 28 2 4 2 (?)
a_n: 0 2 90 92 132 134 210 212 222 224 252 254 258 260
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: 260
Found by: JayPi
db: batch=82, k=14, 88 40 76 10 28 4

SPT(16)	3034496332901011751	0 6 42 66 78 146 152 180 248 276 282 350 362 386 422 428	-2492117846778
STPT(10)	3034496585732230439	0 2 18 20 30 32 42 44 60 62	-2239286628090
STPT(10)	3034497271910488211	0 2 36 38 78 80 120 122 156 158	-1553108370318
STPT(10)	3034497537658078319	0 2 42 44 60 62 78 80 120 122	-1287360780210
STPT(10)	3034498021970989547	0 2 30 32 42 44 54 56 84 86	-803047868982
SPT(16)	3034498718161480543	0 4 18 28 30 46 70 84 100 114 138 154 156 166 180 184	-106857377986
STPT(10)	3034499543315228447	0 2 30 32 42 44 54 56 84 86	718296369918
SPT(16)	3034499710178747747	0 30 44 66 110 114 132 140 156 164 182 186 230 252 266 296	885159889218
SPT(16)	3034500190564795699	0 4 10 18 52 54 82 84 88 90 118 120 154 162 168 172	1365545937170
SPT(16)	3034500665552168161	0 16 40 42 76 82 90 126 142 178 186 192 226 228 252 268	1840533309632
TPT(16)	3034501129551345161	0 2 30 32 156 158 240 242 288 290 336 338 378 380 516 518	2304532486632