Prime p₀= 3018734612637077351 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 28 2 28 2 76 2 (?)
a_n: 0 2 78 80 108 110 138 140 216 218
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: 218
Found by: rlacr
db: batch=82, k=10, 2 76 2 28 2

SPT(16)	3018733759723004233	0 16 40 54 60 78 100 108 226 234 256 274 280 294 318 334	-852914073118
SPT(16)	3018733812817802437	0 10 30 40 54 72 94 96 100 102 124 142 156 166 186 196	-799819274914
STPT(10)	3018733827418499189	0 2 18 20 30 32 42 44 60 62	-785218578162
STPT(10)	3018733937340938147	0 2 90 92 102 104 114 116 204 206	-675296139204
STPT(10)	3018734186833460939	0 2 18 20 30 32 42 44 60 62	-425803616412
STPT(10)	3018734286794962859	0 2 48 50 90 92 132 134 180 182	-325842114492
STPT(10)	3018735263798109629	0 2 48 50 90 92 132 134 180 182	651161032278
STPT(10)	3018735500966075711	0 2 6 8 18 20 30 32 36 38	888328998360
SPT(16)	3018736101581012359	0 18 42 54 70 108 120 138 154 172 184 222 238 250 274 292	1488943935008
SPT(16)	3018736105734642869	0 8 92 132 182 200 210 212 300 302 312 330 380 420 504 512	1493097565518
SPT(16)	3018736407094220671	0 36 70 78 106 112 118 126 202 210 216 222 250 258 292 328	1794457143320