Prime p₀= 2052780965225837051 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: Dingo
db: batch=80, k=10, 2 4 2 10 2

TPT(14)	2052779178310791767	0 2 90 92 102 104 114 116 144 146 180 182 222 224	-1786915045284
SPT(16)	2052779293431923263	0 16 76 88 168 174 184 210 214 240 250 256 336 348 408 424	-1671793913788
SPT(16)	2052779827428940651	0 6 10 40 46 82 112 150 202 240 270 306 312 342 346 352	-1137796896400
STPT(10)	2052780121152838667	0 2 42 44 72 74 102 104 144 146	-844072998384
SPT(16)	2052780140845415999	0 20 42 90 122 140 150 164 198 212 222 240 272 320 342 362	-824380421052
SPT(16)	2052780828752860103	0 6 30 74 78 86 104 170 174 240 258 266 270 314 338 344	-136472976948
STPT(10)	2052781192702261739	0 2 48 50 90 92 132 134 180 182	227476424688
STPT(10)	2052781385151001787	0 2 42 44 72 74 102 104 144 146	419925164736
SPT(16)	2052781707636333853	0 60 70 88 160 204 258 280 288 310 364 408 480 498 508 568	742410496802
SPT(16)	2052781868783514983	0 14 56 60 80 114 126 144 170 188 200 234 254 258 300 314	903557677932
SPT(16)	2052782619335222111	0 2 12 18 36 86 96 116 162 182 192 242 260 266 276 278	1654109385060