Prime p₀= 3010796924381089157 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: [SG-FC] hl
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	3010795565483931221	0 12 20 50 120 132 152 168 182 198 218 230 300 330 338 350	-1358897157936
STPT(10)	3010795666522256939	0 2 18 20 30 32 42 44 60 62	-1257858832218
SPT(16)	3010795910040849937	0 4 30 34 52 90 112 142 144 174 196 234 252 256 282 286	-1014340239220
STPT(10)	3010796022203199311	0 2 6 8 48 50 90 92 96 98	-902177889846
STPT(10)	3010796431979427101	0 2 6 8 48 50 90 92 96 98	-492401662056
STPT(10)	3010796723465799767	0 2 90 92 102 104 114 116 204 206	-200915289390
SPT(16)	3010797322075052047	0 6 10 30 66 76 126 130 180 184 234 244 280 300 304 310	397693962890
STPT(10)	3010797342117789839	0 2 18 20 30 32 42 44 60 62	417736700682
SPT(16)	3010797527797257617	0 30 102 146 156 194 216 240 266 290 312 350 360 404 476 506	603416168460
SPT(16)	3010797592319191739	0 42 60 84 98 102 122 158 204 240 260 264 278 302 320 362	667938102582
STPT(10)	3010797628465699739	0 2 42 44 60 62 78 80 120 122	704084610582