Prime p₀= 1058149758556152011 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Theadalus
db: batch=76, k=10, 2 34 2 40 2

SPT(16)	1058148443849734807	0 22 30 64 76 82 114 154 162 202 234 240 252 286 294 316	-1314706417204
STPT(10)	1058148707172283757	0 2 30 32 60 62 90 92 120 122	-1051383868254
TPT(14)	1058148842540507567	0 2 42 44 54 56 132 134 180 182 192 194 210 212	-916015644444
STPT(10)	1058149233445541021	0 2 36 38 78 80 120 122 156 158	-525110610990
TPT(14)	1058149299853922831	0 2 36 38 60 62 78 80 156 158 168 170 258 260	-458702229180
SPT(16)	1058149662356148863	0 44 50 74 78 144 156 174 380 398 410 476 480 504 510 554	-96200003148
STPT(10)	1058150079659977361	0 2 30 32 78 80 126 128 156 158	321103825350
TPT(14)	1058150167414837067	0 2 30 32 60 62 72 74 84 86 114 116 132 134	408858685056
STPT(10)	1058150167414837097	0 2 30 32 42 44 54 56 84 86	408858685086
STPT(10)	1058150498190963449	0 2 18 20 30 32 42 44 60 62	739634811438
SPT(16)	1058150526725246873	0 20 78 80 90 114 156 158 216 218 260 284 294 296 354 374	768169094862