Prime p₀= 2051701049939254529 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: Landjunge
db: batch=80, k=10, 2 10 2 16 2

STPT(10)	2051699634800887457	0 2 12 14 42 44 72 74 84 86	-1415138367072
SPT(16)	2051700168023162957	0 14 110 164 180 192 210 212 264 266 284 296 312 366 462 476	-881916091572
SPT(16)	2051700283769901161	0 18 38 50 62 92 132 140 168 176 216 246 258 270 290 308	-766169353368
SPT(16)	2051700391899237601	0 30 60 70 88 90 100 142 156 198 208 210 228 238 268 298	-658040016928
SPT(16)	2051700604836208981	0 12 36 46 100 102 118 156 172 210 226 228 282 292 316 328	-445103045548
STPT(10)	2051700884566239119	0 2 48 50 90 92 132 134 180 182	-165373015410
STPT(10)	2051701322511379709	0 2 42 44 60 62 78 80 120 122	272572125180
TPT(14)	2051701442722001069	0 2 42 44 138 140 150 152 198 200 240 242 282 284	392782746540
STPT(10)	2051701447003351667	0 2 30 32 42 44 54 56 84 86	397064097138
SPT(16)	2051701623931484747	0 6 26 62 74 110 144 162 164 182 216 252 264 300 320 326	573992230218
STPT(10)	2051701839770039531	0 2 6 8 48 50 90 92 96 98	789830785002