Prime p₀= 3031521349638270659 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: [SG-FC] hl
db: batch=82, k=10, 2 16 2 40 2

SPT(16)	3031520130891838291	0 16 18 30 46 70 96 118 150 172 198 222 238 250 252 268	-1218746432368
SPT(16)	3031520880233873539	0 10 30 54 64 70 94 108 184 198 222 228 238 262 282 292	-469404397120
STPT(10)	3031520912699994287	0 2 60 62 72 74 84 86 144 146	-436938276372
TPT(14)	3031520927763564149	0 2 18 20 90 92 102 104 198 200 222 224 258 260	-421874706510
TPT(14)	3031521045439725677	0 2 12 14 60 62 150 152 192 194 210 212 234 236	-304198544982
STPT(10)	3031521062809137791	0 2 6 8 48 50 90 92 96 98	-286829132868
TPT(14)	3031521877578822737	0 2 30 32 42 44 72 74 90 92 102 104 174 176	527940552078
STPT(10)	3031521937099409987	0 2 72 74 102 104 132 134 204 206	587461139328
SPT(16)	3031522551115572659	0 84 90 104 122 162 168 188 204 224 230 270 288 302 308 392	1201477302000
SPT(16)	3031522690599793399	0 42 48 64 78 88 100 102 130 132 144 154 168 184 190 232	1340961522740
SPT(16)	3031523108389724017	0 4 6 42 82 90 114 216 220 322 346 354 394 430 432 436	1758751453358