Prime p₀= 800799562596213149 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: schoussi
db: batch=73, k=10, 2 10 2 16 2

SPT(16)	800798852060011523	0 66 80 108 116 134 144 168 176 200 210 228 236 264 278 344	-710536201626
SPT(16)	800799002822719297	0 4 52 60 70 102 144 174 190 220 262 294 304 312 360 364	-559773493852
SPT(16)	800799046880566837	0 6 34 54 90 130 136 166 174 204 210 250 286 306 334 340	-515715646312
STPT(10)	800799150029478569	0 2 12 14 30 32 48 50 60 62	-412566734580
SPT(16)	800799229934635991	0 30 50 78 132 138 140 152 156 168 170 176 230 258 278 308	-332661577158
STPT(10)	800799360419735777	0 2 90 92 102 104 114 116 204 206	-202176477372
STPT(10)	800800014325657469	0 2 12 14 30 32 48 50 60 62	451729444320
SPT(16)	800800248038413919	0 18 48 50 74 90 98 150 182 234 242 258 282 284 314 332	685442200770
SPT(16)	800800426767788099	0 8 42 48 60 78 98 108 224 234 254 272 284 290 324 332	864171574950
SPT(16)	800800669683742111	0 42 46 60 70 88 112 130 138 156 180 198 208 222 226 268	1107087528962
SPT(13)	800800802150333477	0 30 84 120 132 150 162 174 192 204 240 294 324	1239554120328