Prime p₀= 1377257433120294767 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: emoga
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1377256465492418003	0 30 50 54 84 114 138 146 198 206 230 260 290 294 314 344	-967627876764
SPT(16)	1377256624305249619	0 42 70 78 84 100 130 144 148 162 192 208 214 222 250 292	-808815045148
SPT(16)	1377256641052204307	0 6 44 62 72 96 120 132 134 146 170 194 204 222 260 266	-792068090460
SPT(16)	1377256718795136271	0 16 28 58 66 72 156 190 198 232 316 322 330 360 372 388	-714325158496
TPT(14)	1377256738312172819	0 2 12 14 78 80 90 92 180 182 192 194 258 260	-694808121948
STPT(12)	1377256738312172831	0 2 66 68 78 80 168 170 180 182 246 248	-694808121936
STPT(12)	1377257521977749021	0 2 30 32 36 38 120 122 126 128 156 158	88857454254
SPT(16)	1377257684624556193	0 28 30 78 88 90 96 114 130 148 154 156 166 214 216 244	251504261426
STPT(10)	1377257687281802657	0 2 60 62 102 104 144 146 204 206	254161507890
SPT(16)	1377257935573986077	0 56 62 86 126 140 152 170 192 210 222 236 276 300 306 362	502453691310
SPT(16)	1377258091984194743	0 66 68 78 120 144 246 248 306 308 410 434 476 486 488 554	658863899976