Prime p₀= 2989667712229222391 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 40 2 70 2 28 2 64 2 22 2 (?)
a_n: 0 2 66 68 108 110 180 182 210 212 276 278 300 302
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: 302
Found by: Orange Kid
db: batch=82, k=14, 64 40 70 28 64 22

SPT(16)	2989667324863133899	0 22 28 88 112 118 132 138 154 160 174 180 204 264 270 292	-387366088492
SPT(16)	2989667358152745223	0 30 66 70 130 174 178 184 330 336 340 384 444 448 484 514	-354076477168
SPT(16)	2989667362936038709	0 58 72 82 88 94 138 150 172 184 228 234 240 250 264 322	-349293183682
SPT(16)	2989667525602369399	0 40 54 124 130 132 198 204 208 214 280 282 288 358 372 412	-186626852992
SPT(16)	2989667545704270581	0 30 56 62 66 72 122 132 146 156 206 212 216 222 248 278	-166524951810
SPT(16)	2989667645113631023	0 66 70 148 154 210 258 318 346 406 454 510 516 594 598 664	-67115591368
STPT(10)	2989667732470525031	0 2 30 32 78 80 126 128 156 158	20241302640
STPT(10)	2989668051088100927	0 2 30 32 42 44 54 56 84 86	338858878536
STPT(10)	2989668095278309967	0 2 30 32 42 44 54 56 84 86	383049087576
SPT(16)	2989668230472457141	0 10 12 90 100 126 132 142 150 160 166 192 202 280 282 292	518243234750
SPT(16)	2989668549039818603	0 18 26 60 74 96 116 138 146 168 188 210 224 258 266 284	836810596212