Prime p₀= 2105721127963115459 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: Landjunge
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2105720011307000629	0 28 52 88 120 190 204 228 244 268 282 352 384 420 444 472	-1116656114830
TPT(16)	2105720186415312791	0 2 126 128 156 158 186 188 210 212 228 230 240 242 330 332	-941547802668
STPT(10)	2105720490027472907	0 2 30 32 42 44 54 56 84 86	-637935642552
STPT(10)	2105720748269728517	0 2 42 44 72 74 102 104 144 146	-379693386942
STPT(10)	2105720759095751129	0 2 12 14 90 92 168 170 180 182	-368867364330
SPT(16)	2105720822237286173	0 24 44 50 80 138 156 170 174 188 206 264 294 300 320 344	-305725829286
SPT(16)	2105721182028833077	0 10 16 46 132 142 156 216 256 316 330 340 426 456 462 472	54065717618
SPT(16)	2105721484140895693	0 4 36 78 114 118 130 144 160 174 186 190 226 268 300 304	356177780234
TPT(14)	2105721789532087511	0 2 108 110 168 170 210 212 276 278 360 362 408 410	661568972052
SPT(16)	2105721887826304129	0 4 70 82 100 154 172 198 214 240 258 312 330 342 408 412	759863188670
STPT(12)	2105722184227661759	0 2 12 14 42 44 60 62 90 92 102 104	1056264546300