Prime p₀= 741047693645907629 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: Theadalus
db: batch=73, k=10, 2 16 2 40 2

SPT(16)	741046571101698997	0 10 16 42 100 156 172 202 210 240 256 312 370 396 402 412	-1122544208632
SPT(16)	741046758206913787	0 6 10 40 46 90 100 154 156 210 220 264 270 300 304 310	-935438993842
STPT(10)	741046791555214811	0 2 6 8 18 20 30 32 36 38	-902090692818
SPT(16)	741047022506288989	0 30 54 60 72 82 124 142 150 168 210 220 232 238 262 292	-671139618640
SPT(16)	741047378396982491	0 6 32 48 80 86 92 116 132 156 162 168 200 216 242 248	-315248925138
SPT(16)	741047540368461589	0 18 28 30 64 70 120 130 138 148 198 204 238 240 250 268	-153277446040
SPT(18)	741047996694488869	0 12 18 40 52 60 78 84 94 138 148 154 172 180 192 214 220 232	303048581240
TPT(14)	741048350526790121	0 2 30 32 90 92 138 140 270 272 408 410 426 428	656880882492
SPT(16)	741048482678821433	0 36 50 68 74 78 96 98 156 158 176 180 186 204 218 254	789032913804
SPT(16)	741048562825126973	0 14 48 50 60 138 174 200 204 230 266 344 354 356 390 404	869179219344
TPT(14)	741048731091812711	0 2 36 38 66 68 138 140 150 152 276 278 306 308	1037445905082