Prime p₀= 2623689353754084821 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: biodoc
db: batch=82, k=10, 2 4 2 10 2

TPT(14)	2623687979956210499	0 2 90 92 138 140 192 194 252 254 288 290 300 302	-1373797874322
SPT(16)	2623688091074700547	0 16 36 76 106 126 144 156 160 172 190 210 240 280 300 316	-1262679384274
SPT(16)	2623688456512562111	0 8 30 78 92 96 138 168 170 200 242 246 260 308 330 338	-897241522710
SPT(16)	2623688689188583543	0 4 36 94 108 174 178 184 330 336 340 406 420 478 510 514	-664565501278
SPT(16)	2623688913192064829	0 48 74 80 102 140 174 234 248 308 342 380 402 408 434 482	-440562019992
SPT(16)	2623689199423951801	0 6 16 88 102 112 142 156 172 186 216 226 240 312 322 328	-154330133020
SPT(16)	2623689391694026171	0 60 70 96 126 130 138 196 222 280 288 292 322 348 358 418	37939941350
SPT(16)	2623689747186230147	0 6 54 90 96 120 132 162 164 194 206 230 236 272 320 326	393432145326
TPT(14)	2623689812627545757	0 2 12 14 30 32 60 62 132 134 174 176 240 242	458873460936
SPT(16)	2623690455615783611	0 50 78 92 102 116 156 158 210 212 252 266 276 290 318 368	1101861698790
SPT(16)	2623690487528819693	0 14 66 78 96 150 158 168 176 186 194 248 266 278 330 344	1133774734872