Prime p₀= 2340628689120161117 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: Iril
db: batch=81, k=10, 2 58 2 10 2

SPT(16)	2340626548658872337	0 24 56 92 114 140 156 164 222 230 246 272 294 330 362 386	-2140461288780
SPT(16)	2340626772033187933	0 18 58 64 70 114 130 148 150 168 184 228 234 240 280 298	-1917086973184
SPT(16)	2340626938008171887	0 54 74 110 116 132 152 156 200 204 224 240 246 282 302 356	-1751111989230
SPT(16)	2340627039837724657	0 10 24 34 60 66 70 84 112 126 130 136 162 172 186 196	-1649282436460
STPT(10)	2340627820100789081	0 2 30 32 78 80 126 128 156 158	-869019372036
SPT(16)	2340628124644802779	0 22 108 138 142 184 208 220 252 264 288 330 334 364 450 472	-564475358338
SPT(16)	2340628799165676469	0 30 72 112 132 162 184 202 282 300 322 352 372 412 454 484	110045515352
TPT(14)	2340629429586080987	0 2 30 32 102 104 180 182 264 266 342 344 354 356	740465919870
STPT(10)	2340629595098473571	0 2 6 8 48 50 90 92 96 98	905978312454
STPT(10)	2340629826132158381	0 2 6 8 18 20 30 32 36 38	1137011997264
STPT(12)	2340629976984921749	0 2 12 14 72 74 78 80 138 140 150 152	1287864760632