Prime p₀= 2499919196183097719 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Penguin
db: batch=82, k=10, 2 28 2 28 2

STPT(10)	2499918393585648977	0 2 30 32 42 44 54 56 84 86	-802597448742
STPT(10)	2499918401365395629	0 2 48 50 90 92 132 134 180 182	-794817702090
TPT(14)	2499918721604614397	0 2 42 44 84 86 90 92 150 152 222 224 300 302	-474578483322
SPT(16)	2499918945761916781	0 22 42 48 90 100 120 138 142 160 180 190 232 238 258 280	-250421180938
TPT(14)	2499918986423209259	0 2 72 74 150 152 192 194 240 242 252 254 270 272	-209759888460
SPT(16)	2499919086277625279	0 42 54 80 108 144 164 180 182 198 218 254 282 308 320 362	-109905472440
SPT(16)	2499920214451730453	0 110 120 158 164 194 264 270 284 290 360 390 396 434 444 554	1018268632734
SPT(16)	2499920279540927183	0 6 14 20 36 56 78 98 156 176 198 218 234 240 248 254	1083357829464
STPT(10)	2499920524481898491	0 2 30 32 120 122 210 212 240 242	1328298800772
TPT(14)	2499920648858676359	0 2 30 32 120 122 192 194 222 224 372 374 390 392	1452675578640
TPT(14)	2499921122323619261	0 2 36 38 66 68 120 122 126 128 150 152 198 200	1926140521542