Prime p₀= 2309388812422288031 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 106 2 106 2 28 2 (?)
a_n: 0 2 30 32 138 140 246 248 276 278
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: 278
Found by: Orange Kid
db: batch=81, k=10, 2 28 2 106 2

SPT(16)	2309387418409803593	0 26 56 60 68 80 164 234 320 390 474 486 494 498 528 554	-1394012484438
SPT(16)	2309387491819288277	0 24 26 56 92 116 134 146 180 192 210 234 270 300 302 326	-1320602999754
SPT(13)	2309387551274147567	0 12 66 90 156 192 216 240 276 342 366 420 432	-1261148140464
SPT(16)	2309387794029230461	0 10 46 60 78 88 150 166 252 268 330 340 358 372 408 418	-1018393057570
STPT(10)	2309388017510501021	0 2 6 8 48 50 90 92 96 98	-794911787010
STPT(10)	2309388256313745791	0 2 30 32 60 62 90 92 120 122	-556108542240
SPT(16)	2309388899900484763	0 34 64 70 106 118 148 154 180 186 216 228 264 270 300 334	87478196732
SPT(16)	2309389068044149321	0 28 112 168 172 196 226 228 250 252 282 306 310 366 450 478	255621861290
TPT(14)	2309389108778822687	0 2 24 26 42 44 114 116 204 206 210 212 372 374	296356534656
SPT(16)	2309389438450162879	0 30 40 48 82 90 100 108 184 192 202 210 244 252 262 292	626027874848
SPT(16)	2309389474603519873	0 24 34 54 88 90 108 118 180 190 208 210 244 264 274 298	662181231842