Prime p₀= 976838497541261609 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 10 2 4 2 52 2 124 2 28 2 (?)
a_n: 0 2 60 62 72 74 78 80 132 134 258 260 288 290
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: 290
Found by: vinn@[CNT]
db: batch=76, k=14, 58 10 4 52 124 28

TPT(14)	976837849306316147	0 2 120 122 174 176 252 254 384 386 390 392 402 404	-648234945462
SPT(16)	976837945877022877	0 60 76 90 102 130 172 292 300 420 462 490 502 516 532 592	-551664238732
SPT(16)	976838038894837909	0 10 28 34 72 108 132 154 258 280 304 340 378 384 402 412	-458646423700
SPT(16)	976838106932581367	0 12 42 80 84 90 102 152 174 224 236 242 246 284 314 326	-390608680242
SPT(13)	976838202688537391	0 30 42 60 66 96 126 156 186 192 210 222 252	-294852724218
SPT(16)	976838322367252967	0 6 42 44 56 74 114 144 182 212 252 270 282 284 320 326	-175174008642
SPT(16)	976838582855536697	0 2 20 24 44 66 72 80 336 344 350 372 392 396 414 416	85314275088
STPT(10)	976838715460473137	0 2 24 26 42 44 60 62 84 86	217919211528
TPT(14)	976838721093791789	0 2 48 50 78 80 198 200 210 212 228 230 252 254	223552530180
SPT(18)	976838742688011239	0 2 24 44 50 84 114 152 182 192 222 260 290 324 330 350 372 374	245146749630
SPT(16)	976838806370080723	0 24 46 76 84 144 160 214 216 270 286 346 354 384 406 430	308828819114