Prime p₀= 2522668362610639679 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: JayPi
db: batch=82, k=10, 2 40 2 16 2

SPT(16)	2522667315587972011	0 28 30 76 90 112 132 142 156 166 186 208 222 268 270 298	-1047022667668
TPT(14)	2522667591710920061	0 2 18 20 48 50 90 92 126 128 300 302 330 332	-770899719618
TPT(14)	2522667816211886171	0 2 6 8 48 50 78 80 96 98 108 110 138 140	-546398753508
STPT(10)	2522667859532346707	0 2 24 26 42 44 60 62 84 86	-503078292972
STPT(10)	2522667859606775891	0 2 6 8 48 50 90 92 96 98	-503003863788
SPT(16)	2522667897822159473	0 8 14 50 60 80 110 144 260 294 324 344 354 390 396 404	-464788480206
STPT(10)	2522668827208069427	0 2 30 32 42 44 54 56 84 86	464597429748
SPT(16)	2522668966293488459	0 24 30 62 84 108 152 174 188 210 254 278 300 332 338 362	603682848780
SPT(16)	2522668984944372157	0 34 66 82 90 102 124 154 192 222 244 256 264 280 312 346	622333732478
SPT(16)	2522669322459466429	0 30 72 84 142 160 162 184 228 250 252 270 328 340 382 412	959848826750
TPT(14)	2522669384695630061	0 2 48 50 66 68 150 152 210 212 288 290 306 308	1022084990382