Prime p₀= 816399176499539987 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: [SG]FX
db: batch=73, k=10, 2 10 2 58 2

STPT(10)	816397968151820147	0 2 30 32 60 62 90 92 120 122	-1208347719840
SPT(16)	816398437727780587	0 36 52 70 106 136 150 154 162 166 180 210 246 264 280 316	-738771759400
SPT(16)	816398442921841177	0 4 10 12 24 46 54 60 76 82 90 112 124 126 132 136	-733577698810
STPT(10)	816398488387047689	0 2 12 14 30 32 48 50 60 62	-688112492298
TPT(14)	816398670886525457	0 2 12 14 84 86 90 92 120 122 150 152 162 164	-505613014530
STPT(10)	816399026248008911	0 2 66 68 138 140 210 212 276 278	-150251531076
STPT(10)	816399351185790011	0 2 6 8 48 50 90 92 96 98	174686250024
STPT(10)	816399354034387307	0 2 30 32 60 62 90 92 120 122	177534847320
TPT(14)	816399492163396199	0 2 48 50 90 92 132 134 240 242 288 290 372 374	315663856212
SPT(16)	816400063051482677	0 6 50 84 132 144 152 204 242 294 302 314 362 396 440 446	886551942690
SPT(16)	816400272357075127	0 22 52 60 102 120 156 186 196 226 262 280 322 330 360 382	1095857535140