Prime p₀= 2283438153789427169 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: [SG-2W]Kurzer
db: batch=81, k=12, 2 10 2 28 2 76

SPT(18)	2283437272712105651	0 18 32 38 60 92 108 116 126 152 162 170 186 218 240 246 260 278	-881077321518
SPT(16)	2283437413369707593	0 50 74 150 174 176 186 188 246 248 258 260 284 360 384 434	-740419719576
STPT(10)	2283437439523744289	0 2 30 32 60 62 90 92 120 122	-714265682880
STPT(10)	2283437588816446001	0 2 36 38 78 80 120 122 156 158	-564972981168
SPT(16)	2283437811218460161	0 6 20 26 56 110 132 150 182 200 222 276 306 312 326 332	-342570967008
STPT(10)	2283438114826937867	0 2 30 32 42 44 54 56 84 86	-38962489302
SPT(16)	2283438344257534043	0 20 24 56 74 116 144 156 158 170 198 240 258 290 294 314	190468106874
SPT(16)	2283438661239015587	0 72 80 114 126 132 140 146 150 156 164 170 182 216 224 296	507449588418
STPT(10)	2283438713696029847	0 2 60 62 72 74 84 86 144 146	559906602678
SPT(16)	2283439142835032047	0 10 22 54 66 94 112 150 166 204 222 250 262 294 306 316	989045604878
SPT(16)	2283439166565563459	0 32 78 92 120 192 200 204 248 252 260 332 360 374 420 452	1012776136290