Prime p₀= 3018735263798109629 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: rlacr
db: batch=82, k=10, 2 46 2 40 2

SPT(16)	3018733812817802437	0 10 30 40 54 72 94 96 100 102 124 142 156 166 186 196	-1450980307192
STPT(10)	3018733827418499189	0 2 18 20 30 32 42 44 60 62	-1436379610440
STPT(10)	3018733937340938147	0 2 90 92 102 104 114 116 204 206	-1326457171482
STPT(10)	3018734186833460939	0 2 18 20 30 32 42 44 60 62	-1076964648690
STPT(10)	3018734286794962859	0 2 48 50 90 92 132 134 180 182	-977003146770
STPT(10)	3018734612637077351	0 2 78 80 108 110 138 140 216 218	-651161032278
STPT(10)	3018735500966075711	0 2 6 8 18 20 30 32 36 38	237167966082
SPT(16)	3018736101581012359	0 18 42 54 70 108 120 138 154 172 184 222 238 250 274 292	837782902730
SPT(16)	3018736105734642869	0 8 92 132 182 200 210 212 300 302 312 330 380 420 504 512	841936533240
SPT(16)	3018736407094220671	0 36 70 78 106 112 118 126 202 210 216 222 250 258 292 328	1143296111042
SPT(16)	3018736555005312679	0 28 40 42 90 94 102 174 178 250 258 262 310 312 324 352	1291207203050