Prime p₀= 1579389383375167379 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 34 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 78 80 108 110 120 122
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: crashtech
db: batch=78, k=12, 2 10 2 28 2 34

SPT(16)	1579388545436452571	0 36 90 108 116 120 122 126 182 186 188 192 200 218 272 308	-837938714808
SPT(16)	1579388575409145979	0 48 52 108 112 114 118 174 178 234 238 240 244 300 304 352	-807966021400
STPT(10)	1579388856107801909	0 2 18 20 60 62 102 104 120 122	-527267365470
STPT(10)	1579388914178388347	0 2 60 62 72 74 84 86 144 146	-469196779032
STPT(10)	1579389045206042039	0 2 12 14 90 92 168 170 180 182	-338169125340
SPT(16)	1579389193484166907	0 6 34 36 72 76 150 154 162 166 240 244 280 282 310 316	-189891000472
STPT(10)	1579389511830090971	0 2 6 8 48 50 90 92 96 98	128454923592
SPT(16)	1579389819681940769	0 2 18 32 44 62 68 98 144 174 180 198 210 224 240 242	436306773390
SPT(16)	1579390003700582971	0 6 102 106 130 190 192 216 232 256 258 318 342 346 442 448	620325415592
SPT(16)	1579390027610820097	0 10 46 60 102 142 186 220 312 346 390 430 472 486 522 532	644235652718
STPT(10)	1579390909863075311	0 2 30 32 60 62 90 92 120 122	1526487907932