Prime p₀= 816353834877925007 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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 40 2 28 2

TPT(14)	816353001465096647	0 2 12 14 54 56 102 104 114 116 222 224 234 236	-833412828360
SPT(16)	816353107743762059	0 8 20 32 50 60 80 84 98 102 122 132 150 162 174 182	-727134162948
SPT(16)	816353627472685607	0 6 32 50 62 104 120 182 204 266 282 324 336 354 380 386	-207405239400
STPT(10)	816353736684598547	0 2 30 32 42 44 54 56 84 86	-98193326460
SPT(16)	816353806265064191	0 48 60 92 108 122 168 176 192 200 246 260 276 308 320 368	-28612860816
STPT(10)	816353809045589567	0 2 30 32 42 44 54 56 84 86	-25832335440
STPT(10)	816353840560508207	0 2 42 44 72 74 102 104 144 146	5682583200
STPT(10)	816353881545541481	0 2 6 8 18 20 30 32 36 38	46667616474
SPT(16)	816354114327986681	0 30 42 72 80 102 108 168 212 272 278 300 308 338 350 380	279450061674
SPT(16)	816354134199206387	0 14 36 66 80 110 114 116 120 122 126 156 170 200 222 236	299321281380
STPT(10)	816354216903438737	0 2 30 32 42 44 54 56 84 86	382025513730