Prime p₀= 2042004525434940929 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 10 2 58 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 90 92 102 104 120 122
All 12 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: vaughan
db: batch=80, k=12, 2 16 2 10 2 58

SPT(16)	2042003861040887243	0 38 56 110 164 206 236 260 294 318 348 390 444 498 516 554	-664394053686
SPT(16)	2042004087959903629	0 28 42 48 58 72 90 102 160 172 190 204 214 220 234 262	-437475037300
STPT(10)	2042004167607470189	0 2 12 14 30 32 48 50 60 62	-357827470740
TPT(14)	2042004196946121257	0 2 180 182 192 194 210 212 222 224 252 254 300 302	-328488819672
SPT(16)	2042004330899389357	0 30 34 54 90 106 114 120 166 172 180 196 232 252 256 286	-194535551572
SPT(16)	2042004368287824949	0 12 42 52 54 64 100 120 172 192 228 238 240 250 280 292	-157147115980
STPT(10)	2042004751441965857	0 2 30 32 42 44 54 56 84 86	226007024928
STPT(10)	2042004946366735289	0 2 30 32 60 62 90 92 120 122	420931794360
STPT(10)	2042005723114067531	0 2 6 8 18 20 30 32 36 38	1197679126602
SPT(16)	2042005812513104813	0 26 56 84 86 90 104 116 168 180 194 198 200 228 258 284	1287078163884
SPT(16)	2042006040805694063	0 78 128 156 158 168 188 200 216 228 248 258 260 288 338 416	1515370753134