Prime p₀= 1465059625126899407 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: Theadalus
db: batch=78, k=10, 2 10 2 58 2

SPT(16)	1465057542786896497	0 60 64 82 90 112 124 154 222 252 264 286 294 312 316 376	-2082340002910
STPT(10)	1465057791023915909	0 2 18 20 30 32 42 44 60 62	-1834102983498
STPT(10)	1465058372097898547	0 2 30 32 72 74 114 116 144 146	-1253029000860
SPT(16)	1465058386238350807	0 16 22 30 96 112 120 124 222 226 234 250 316 324 330 346	-1238888548600
TPT(14)	1465058720645700161	0 2 18 20 48 50 78 80 90 92 126 128 156 158	-904481199246
SPT(16)	1465059068261113763	0 8 20 36 104 126 138 144 170 176 188 210 278 294 306 314	-556865785644
SPT(16)	1465059899786118553	0 78 114 124 130 184 246 256 288 298 360 414 420 430 466 544	274659219146
STPT(10)	1465060493160422297	0 2 60 62 72 74 84 86 144 146	868033522890
TPT(14)	1465060544061064259	0 2 12 14 72 74 138 140 180 182 210 212 240 242	918934164852
TPT(14)	1465060731022494719	0 2 78 80 120 122 180 182 192 194 222 224 252 254	1105895595312
STPT(10)	1465060739615757671	0 2 30 32 78 80 126 128 156 158	1114488858264