Prime p₀= 2042004751441965857 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: vaughan
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2042004087959903629	0 28 42 48 58 72 90 102 160 172 190 204 214 220 234 262	-663482062228
STPT(10)	2042004167607470189	0 2 12 14 30 32 48 50 60 62	-583834495668
TPT(14)	2042004196946121257	0 2 180 182 192 194 210 212 222 224 252 254 300 302	-554495844600
SPT(16)	2042004330899389357	0 30 34 54 90 106 114 120 166 172 180 196 232 252 256 286	-420542576500
SPT(16)	2042004368287824949	0 12 42 52 54 64 100 120 172 192 228 238 240 250 280 292	-383154140908
STPT(12)	2042004525434940929	0 2 18 20 30 32 90 92 102 104 120 122	-226007024928
STPT(10)	2042004946366735289	0 2 30 32 60 62 90 92 120 122	194924769432
STPT(10)	2042005723114067531	0 2 6 8 18 20 30 32 36 38	971672101674
SPT(16)	2042005812513104813	0 26 56 84 86 90 104 116 168 180 194 198 200 228 258 284	1061071138956
SPT(16)	2042006040805694063	0 78 128 156 158 168 188 200 216 228 248 258 260 288 338 416	1289363728206
STPT(10)	2042006635052113097	0 2 12 14 132 134 252 254 264 266	1883610147240