Prime p₀= 798080253771890231 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [SG-2W]Kurzer
db: batch=73, k=10, 2 4 2 10 2

TPT(14)	798078760627320197	0 2 54 56 60 62 132 134 174 176 240 242 264 266	-1493144570034
SPT(16)	798079006662700927	0 16 52 76 94 126 136 154 162 180 190 222 240 264 300 316	-1247109189304
STPT(10)	798079407872288279	0 2 48 50 90 92 132 134 180 182	-845899601952
STPT(10)	798079453500010217	0 2 90 92 132 134 174 176 264 266	-800271880014
SPT(16)	798079475708597003	0 8 20 50 74 98 104 138 140 174 180 204 228 258 270 278	-778063293228
STPT(10)	798079797340743947	0 2 30 32 42 44 54 56 84 86	-456431146284
SPT(16)	798080330257079923	0 16 30 34 48 60 70 100 114 144 154 166 180 184 198 214	76485189692
STPT(10)	798080524667644121	0 2 96 98 138 140 180 182 276 278	270895753890
SPT(16)	798080839076785373	0 14 30 44 110 128 134 140 174 180 186 204 270 284 300 314	585304895142
SPT(16)	798081018225470179	0 12 18 48 54 70 72 82 90 100 102 118 124 154 160 172	764453579948
SPT(16)	798081040218112237	0 30 34 60 72 82 96 100 156 160 174 184 196 222 226 256	786446222006