Prime p₀= 2954156129198550509 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 28 2 58 2 34 2 10 2 16 2 (?)
a_n: 0 2 72 74 102 104 162 164 198 200 210 212 228 230
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: 230
Found by: Orange Kid
db: batch=82, k=14, 70 28 58 34 10 16

SPT(16)	2954153882654852153	0 20 78 90 128 134 138 150 194 206 210 216 254 266 324 344	-2246543698356
SPT(16)	2954153963684765461	0 22 28 90 100 112 132 138 142 148 168 180 190 252 258 280	-2165513785048
STPT(10)	2954154848678226671	0 2 30 32 78 80 126 128 156 158	-1280520323838
STPT(10)	2954155355846601029	0 2 12 14 30 32 48 50 60 62	-773351949480
SPT(16)	2954155988711886691	0 12 82 108 130 168 208 210 220 222 262 300 322 348 418 430	-140486663818
SPT(16)	2954156036310802181	0 20 50 56 62 96 102 138 140 176 182 216 222 228 258 278	-92887748328
TPT(14)	2954156270925921569	0 2 48 50 132 134 198 200 252 254 258 260 312 314	141727371060
SPT(16)	2954156271134010461	0 26 36 78 102 116 122 128 150 156 162 176 200 242 252 278	141935459952
SPT(16)	2954156486624747263	0 4 118 150 208 238 244 250 354 360 366 396 454 486 600 604	357426196754
TPT(14)	2954156496093156749	0 2 48 50 108 110 258 260 300 302 390 392 462 464	366894606240
SPT(16)	2954156594530004671	0 22 48 52 58 90 100 118 150 168 178 210 216 220 246 268	465331454162