Prime p₀= 1979365154328349679 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 76 2 40 2 10 2 154 2 10 2 (?)
a_n: 0 2 90 92 168 170 210 212 222 224 378 380 390 392
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: 392
Found by: JonS
db: batch=80, k=14, 88 76 40 10 154 10

SPT(16)	1979363246150639807	0 14 50 104 146 206 234 252 254 272 300 360 402 456 492 506	-1908177709872
SPT(16)	1979363878589751193	0 108 126 130 144 184 198 268 276 346 360 400 414 418 436 544	-1275738598486
SPT(16)	1979364299745431513	0 36 66 96 126 150 204 210 270 276 330 354 384 414 444 480	-854582918166
STPT(10)	1979364776728281461	0 2 30 32 78 80 126 128 156 158	-377600068218
TPT(14)	1979364805197320171	0 2 36 38 66 68 78 80 120 122 156 158 180 182	-349131029508
SPT(16)	1979364855573077107	0 6 42 84 102 132 136 150 256 270 274 304 322 364 400 406	-298755272572
SPT(16)	1979365197912703687	0 6 106 120 160 186 196 210 262 276 286 312 352 366 466 472	43584354008
STPT(10)	1979365229741674121	0 2 6 8 48 50 90 92 96 98	75413324442
SPT(16)	1979365245220891279	0 30 34 48 94 100 138 168 190 220 258 264 310 324 328 358	90892541600
SPT(16)	1979365538510390519	0 24 38 42 74 144 152 164 168 180 188 258 290 294 308 332	384182040840
STPT(12)	1979365561143792557	0 2 30 32 84 86 150 152 204 206 234 236	406815442878