Prime p₀= 2891758098466782047 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: Landjunge
db: batch=82, k=10, 2 22 2 16 2

STPT(10)	2891756109740409797	0 2 30 32 42 44 54 56 84 86	-1988726372250
STPT(10)	2891756235303539081	0 2 30 32 78 80 126 128 156 158	-1863163242966
SPT(16)	2891756307645022397	0 6 12 24 32 56 110 140 156 186 240 264 272 284 290 296	-1790821759650
SPT(13)	2891756832534023807	0 72 126 132 156 210 216 222 276 300 306 360 432	-1265932758240
SPT(16)	2891757420423832007	0 12 60 92 102 104 116 134 192 210 222 224 234 266 314 326	-678042950040
STPT(10)	2891757852706170587	0 2 12 14 42 44 72 74 84 86	-245760611460
STPT(10)	2891758449654608291	0 2 6 8 18 20 30 32 36 38	351187826244
STPT(10)	2891758818907156481	0 2 6 8 48 50 90 92 96 98	720440374434
SPT(16)	2891758946298038309	0 8 20 38 42 48 78 120 152 194 224 230 234 252 264 272	847831256262
SPT(16)	2891759167487741003	0 24 60 74 78 98 140 188 246 294 336 356 360 374 410 434	1069020958956
SPT(18)	2891759267906270473	0 28 34 46 48 60 126 148 160 204 216 238 304 316 318 330 336 364	1169439488426