Prime p₀= 2437337656285157807 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: SEARCHER
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2437334896694992757	0 2 14 42 50 80 84 114 212 242 246 276 284 312 324 326	-2759590165050
SPT(16)	2437335166438962047	0 20 42 60 122 140 186 192 224 230 276 294 356 374 396 416	-2489846195760
STPT(10)	2437335303818925401	0 2 66 68 108 110 150 152 216 218	-2352466232406
SPT(16)	2437336124749242499	0 34 52 60 118 124 142 144 208 210 228 234 292 300 318 352	-1531535915308
SPT(16)	2437336919169119431	0 18 48 58 90 118 132 190 198 256 270 298 330 340 370 388	-737116038376
SPT(16)	2437337562298860839	0 38 78 120 134 140 164 170 198 204 228 234 248 290 330 368	-93986296968
SPT(16)	2437338592518475543	0 10 16 30 60 66 76 108 196 228 238 244 274 288 294 304	936233317736
STPT(10)	2437339181287850627	0 2 12 14 72 74 132 134 144 146	1525002692820
SPT(16)	2437339389781941653	0 30 38 56 66 74 98 108 176 186 210 218 228 246 254 284	1733496783846
STPT(10)	2437339639751932841	0 2 30 32 78 80 126 128 156 158	1983466775034
STPT(10)	2437339955108296487	0 2 30 32 42 44 54 56 84 86	2298823138680