Prime p₀= 3028175447169863057 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 146
Found by: Asgard2022
db: batch=82, k=10, 2 58 2 10 2

SPT(16)	3028174259441131217	0 6 54 62 96 114 120 126 140 146 152 170 204 212 260 266	-1187728731840
SPT(16)	3028174385659751711	0 6 32 62 162 248 260 278 300 318 330 416 516 546 572 578	-1061510111346
SPT(16)	3028174386562847261	0 50 56 78 98 120 146 158 330 342 368 390 410 432 438 488	-1060607015796
SPT(16)	3028174559440449227	0 26 42 54 74 96 152 224 312 384 440 462 482 494 510 536	-887729413830
SPT(16)	3028174728048890243	0 48 50 90 108 110 126 134 150 158 174 176 194 234 236 284	-719120972814
TPT(14)	3028174949790144569	0 2 30 32 60 62 120 122 198 200 228 230 258 260	-497379718488
STPT(10)	3028175697837959531	0 2 30 32 78 80 126 128 156 158	250668096474
SPT(16)	3028176556114653127	0 22 30 60 72 90 100 112 162 174 184 202 214 244 252 274	1108944790070
SPT(16)	3028176807512464721	0 38 50 98 102 110 128 152 168 192 210 218 222 270 282 320	1360342601664
TPT(14)	3028177055083092881	0 2 66 68 168 170 246 248 348 350 570 572 600 602	1607913229824
STPT(12)	3028177199941980551	0 2 36 38 48 50 78 80 90 92 126 128	1752772117494