Prime p₀= 1578865187235617471 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 136 2 40 2 58 2 28 2 10 2 (?)
a_n: 0 2 108 110 246 248 288 290 348 350 378 380 390 392
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: xii5ku
db: batch=78, k=14, 106 136 40 58 28 10

STPT(10)	1578864328100371997	0 2 24 26 42 44 60 62 84 86	-859135245474
SPT(16)	1578864341357268839	0 12 48 60 80 98 108 132 200 224 234 252 272 284 320 332	-845878348632
SPT(16)	1578864724789218731	0 36 60 78 98 116 156 168 230 242 282 300 320 338 362 398	-462446398740
SPT(16)	1578865023432583111	0 10 60 70 88 102 106 142 156 192 196 210 228 238 288 298	-163803034360
SPT(16)	1578865036223541317	0 54 60 72 80 104 122 132 164 174 192 216 224 236 242 296	-151012076154
STPT(10)	1578865062751403027	0 2 42 44 72 74 102 104 144 146	-124484214444
STPT(10)	1578865253343999977	0 2 42 44 72 74 102 104 144 146	66108382506
SPT(16)	1578865644892245929	0 20 32 50 102 108 134 140 192 198 224 230 282 300 312 332	457656628458
SPT(16)	1578866243724230959	0 58 70 102 120 124 138 142 150 154 168 172 190 222 234 292	1056488613488
SPT(16)	1578867000616054999	0 28 48 84 108 124 202 204 208 210 288 304 328 364 384 412	1813380437528
SPT(16)	1578867171524604581	0 8 26 60 68 86 162 176 222 236 312 330 338 372 390 398	1984288987110