Prime p₀= 1019957341612190411 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 58 2 10 2 130 2 64 2 10 2 (?)
a_n: 0 2 6 8 66 68 78 80 210 212 276 278 288 290
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: stoneageman
db: batch=76, k=14, 4 58 10 130 64 10

SPT(16)	1019956213976179787	0 20 30 74 86 140 170 186 224 240 270 324 336 380 390 410	-1127636010624
SPT(16)	1019956355122602763	0 10 48 118 126 144 186 204 220 238 280 298 306 376 414 424	-986489587648
SPT(16)	1019956650479665859	0 42 44 48 78 98 120 164 168 212 234 254 284 288 290 332	-691132524552
SPT(16)	1019956946064786157	0 4 70 84 126 136 150 156 184 190 204 214 256 270 336 340	-395547404254
STPT(10)	1019957069325845447	0 2 30 32 42 44 54 56 84 86	-272286344964
SPT(16)	1019957283041264747	0 2 14 20 60 62 102 132 212 242 282 284 324 330 342 344	-58570925664
SPT(16)	1019957465667350711	0 26 56 78 120 138 152 158 180 186 200 218 260 282 312 338	124055160300
SPT(16)	1019957767913195227	0 34 72 102 112 160 216 256 270 310 366 414 424 454 492 526	426301004816
SPT(16)	1019957982680316271	0 12 16 28 118 126 130 132 166 168 172 180 270 282 286 298	641068125860
SPT(16)	1019958352781032909	0 4 24 28 48 70 144 160 252 268 342 364 384 388 408 412	1011168842498
STPT(10)	1019958369569078507	0 2 12 14 42 44 72 74 84 86	1027956888096