Prime p₀= 3028174949790144569 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 58 2 76 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 120 122 198 200 228 230 258 260
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: 260
Found by: Asgard2022
db: batch=82, k=14, 28 28 58 76 28 28

SPT(16)	3028174016099223413	0 8 14 30 86 144 164 168 206 210 230 288 344 360 366 374	-933690921156
SPT(16)	3028174259441131217	0 6 54 62 96 114 120 126 140 146 152 170 204 212 260 266	-690349013352
SPT(16)	3028174385659751711	0 6 32 62 162 248 260 278 300 318 330 416 516 546 572 578	-564130392858
SPT(16)	3028174386562847261	0 50 56 78 98 120 146 158 330 342 368 390 410 432 438 488	-563227297308
SPT(16)	3028174559440449227	0 26 42 54 74 96 152 224 312 384 440 462 482 494 510 536	-390349695342
SPT(16)	3028174728048890243	0 48 50 90 108 110 126 134 150 158 174 176 194 234 236 284	-221741254326
STPT(10)	3028175447169863057	0 2 60 62 72 74 84 86 144 146	497379718488
STPT(10)	3028175697837959531	0 2 30 32 78 80 126 128 156 158	748047814962
SPT(16)	3028176556114653127	0 22 30 60 72 90 100 112 162 174 184 202 214 244 252 274	1606324508558
SPT(16)	3028176807512464721	0 38 50 98 102 110 128 152 168 192 210 218 222 270 282 320	1857722320152
TPT(14)	3028177055083092881	0 2 66 68 168 170 246 248 348 350 570 572 600 602	2105292948312