Prime p₀= 800868725320183571 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: jozef j
db: batch=73, k=10, 2 4 2 10 2

SPT(16)	800867808924091267	0 10 22 42 84 90 120 192 214 286 316 322 364 384 396 406	-916396092304
SPT(16)	800868105061793771	0 2 30 132 158 168 182 188 312 318 332 342 368 470 498 500	-620258389800
SPT(16)	800868330226443761	0 36 38 62 72 86 150 162 176 188 252 266 276 300 302 338	-395093739810
SPT(16)	800868350556262771	0 12 46 60 72 76 82 100 198 216 222 226 238 252 286 298	-374763920800
SPT(16)	800868517583725027	0 16 66 94 100 154 156 160 216 220 222 276 282 310 360 376	-207736458544
SPT(18)	800868644995472213	0 20 30 80 96 98 110 128 138 158 168 186 198 200 216 266 276 296	-80324711358
STPT(10)	800868970792436669	0 2 12 14 30 32 48 50 60 62	245472253098
STPT(12)	800869379408666297	0 2 42 44 72 74 90 92 120 122 162 164	654088482726
SPT(16)	800869446698996281	0 6 18 40 66 88 90 118 180 208 210 232 258 280 292 298	721378812710
TPT(14)	800869486978820447	0 2 144 146 180 182 210 212 222 224 234 236 354 356	761658636876
TPT(14)	800869567962158237	0 2 30 32 102 104 174 176 342 344 384 386 420 422	842641974666