Prime p₀= 3091319965349885177 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: UrsD
db: batch=83, k=10, 2 28 2 10 2

SPT(16)	3091318038331238021	0 12 26 38 60 78 138 168 260 290 350 368 390 402 416 428	-1927018647156
TPT(16)	3091318607780327621	0 2 6 8 156 158 210 212 228 230 270 272 306 308 366 368	-1357569557556
SPT(16)	3091318832317091251	0 12 66 88 130 148 156 168 250 262 270 288 330 352 406 418	-1133032793926
SPT(18)	3091318848066120043	0 36 40 54 60 78 84 88 124 150 186 190 196 214 220 234 238 274	-1117283765134
SPT(16)	3091319329439033129	0 8 30 84 108 114 120 138 164 182 188 194 218 272 294 302	-635910852048
SPT(16)	3091319435990305111	0 16 28 60 78 88 102 142 216 256 270 280 298 330 342 358	-529359580066
SPT(16)	3091320047216505149	0 8 12 14 30 42 48 50 132 134 140 152 168 170 174 182	81866619972
TPT(14)	3091320164075460047	0 2 84 86 120 122 150 152 174 176 234 236 420 422	198725574870
STPT(10)	3091320719295225539	0 2 48 50 90 92 132 134 180 182	753945340362
STPT(10)	3091321243959088937	0 2 24 26 42 44 60 62 84 86	1278609203760
STPT(10)	3091321281753325727	0 2 12 14 42 44 72 74 84 86	1316403440550