Prime p₀= 977514980434132871 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 10 2 4 2 202 2 16 2 40 2 (?)
a_n: 0 2 78 80 90 92 96 98 300 302 318 320 360 362
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: 362
Found by: stoneageman
db: batch=76, k=14, 76 10 4 202 16 40

SPT(16)	977514201588716893	0 24 36 66 78 106 150 208 246 304 348 376 388 418 430 454	-778845415978
SPT(16)	977514326236892443	0 30 54 94 150 168 208 228 250 270 310 328 384 424 448 478	-654197240428
SPT(16)	977514655868355349	0 78 84 90 94 108 114 160 198 244 250 264 268 274 280 358	-324565777522
SPT(16)	977514692359878887	0 36 54 56 140 146 156 162 194 200 210 216 300 302 320 356	-288074253984
TPT(14)	977514704758814021	0 2 90 92 120 122 156 158 216 218 246 248 258 260	-275675318850
STPT(10)	977514855830570537	0 2 30 32 42 44 54 56 84 86	-124603562334
SPT(16)	977515023414115093	0 40 66 70 94 118 178 204 220 246 306 330 354 358 384 424	42979982222
SPT(16)	977515052286380239	0 34 42 64 84 90 132 150 172 190 232 238 258 280 288 322	71852247368
SPT(16)	977515315084902617	0 14 24 36 44 62 84 90 116 122 144 162 170 182 192 206	334650769746
STPT(10)	977515526261257679	0 2 48 50 90 92 132 134 180 182	545827124808
STPT(10)	977515609030860881	0 2 36 38 78 80 120 122 156 158	628596728010