Prime p₀= 2322258256828859747 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: Groo
db: batch=81, k=10, 2 28 2 40 2

SPT(16)	2322256790360244317	0 6 30 54 56 60 110 116 180 186 236 240 242 266 290 296	-1466468615430
STPT(10)	2322256936517865239	0 2 12 14 90 92 168 170 180 182	-1320310994508
SPT(16)	2322257313464450189	0 2 32 60 104 132 144 150 164 170 182 210 254 282 312 314	-943364409558
SPT(16)	2322257435048087039	0 42 48 104 122 140 164 180 182 198 222 240 258 314 320 362	-821780772708
SPT(16)	2322257626360262519	0 24 62 84 110 122 152 164 210 222 252 264 290 312 350 374	-630468597228
SPT(13)	2322257682363973463	0 30 48 90 96 156 198 240 300 306 348 366 396	-574464886284
STPT(10)	2322258579812054171	0 2 36 38 78 80 120 122 156 158	322983194424
STPT(10)	2322258863898869177	0 2 42 44 72 74 102 104 144 146	607070009430
STPT(10)	2322258871497719909	0 2 18 20 30 32 42 44 60 62	614668860162
TPT(14)	2322259126999937579	0 2 42 44 102 104 198 200 210 212 312 314 348 350	870171077832
SPT(16)	2322259159865815837	0 6 24 84 150 156 160 172 174 186 190 196 262 322 340 346	903036956090