Prime p₀= 1062483113790418589 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 76 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 120 122 150 152 162 164
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: 164
Found by: Phoenix48
db: batch=76, k=12, 2 10 2 28 2 76

STPT(12)	1062481492316550989	0 2 18 20 42 44 48 50 72 74 90 92	-1621473867600
SPT(16)	1062481517536723001	0 6 12 18 32 50 68 90 98 120 138 156 170 176 182 188	-1596253695588
STPT(10)	1062481625651339867	0 2 30 32 42 44 54 56 84 86	-1488139078722
STPT(12)	1062481634473754177	0 2 42 44 60 62 72 74 90 92 132 134	-1479316664412
STPT(10)	1062482809499369309	0 2 42 44 60 62 78 80 120 122	-304291049280
SPT(16)	1062482840062251427	0 40 42 54 84 112 166 196 210 240 294 322 352 364 366 406	-273728167162
SPT(16)	1062483637377697429	0 10 48 88 118 144 154 160 312 318 328 354 384 424 462 472	523587278840
SPT(16)	1062483721913744057	0 2 6 20 44 50 56 72 104 120 126 132 156 170 174 176	608123325468
SPT(16)	1062483736407677459	0 12 30 68 108 128 144 192 200 248 264 284 324 362 380 392	622617258870
STPT(10)	1062483963267887117	0 2 24 26 42 44 60 62 84 86	849477468528
SPT(16)	1062484508935231519	0 60 64 100 102 114 130 174 238 282 298 310 312 348 352 412	1395144812930