Prime p₀= 2352749373617885129 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 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: kashi
db: batch=81, k=10, 2 16 2 10 2

STPT(12)	2352747923924845649	0 2 42 44 102 104 210 212 270 272 312 314	-1449693039480
STPT(10)	2352748068495125129	0 2 12 14 90 92 168 170 180 182	-1305122760000
STPT(10)	2352748486479151637	0 2 30 32 60 62 90 92 120 122	-887138733492
SPT(16)	2352748809614568979	0 22 42 82 84 120 130 144 190 204 214 250 252 292 312 334	-564003316150
SPT(16)	2352748815505637737	0 24 90 96 102 154 166 172 174 180 192 244 250 256 322 346	-558112247392
STPT(10)	2352748836186528677	0 2 60 62 72 74 84 86 144 146	-537431356452
SPT(16)	2352749479968864941	0 18 26 32 42 68 110 116 132 138 180 206 216 222 230 248	106350979812
STPT(10)	2352749616453462089	0 2 42 44 90 92 138 140 180 182	242835576960
STPT(10)	2352749771957292707	0 2 24 26 42 44 60 62 84 86	398339407578
SPT(16)	2352750060307881109	0 42 72 78 94 130 150 184 198 232 252 288 304 310 340 382	686689995980
STPT(10)	2352750255636888431	0 2 36 38 78 80 120 122 156 158	882019003302