Prime p₀= 2112892417034894849 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 16 2 40 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 72 74 90 92 102 104
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: 104
Found by: Landjunge
db: batch=80, k=12, 2 10 2 16 2 40

SPT(16)	2112891022914414307	0 10 34 42 52 82 90 120 136 166 174 204 214 222 246 256	-1394120480542
SPT(16)	2112891027646299787	0 34 42 46 96 102 106 124 132 150 154 160 210 214 222 256	-1389388595062
STPT(10)	2112891055602877577	0 2 24 26 42 44 60 62 84 86	-1361432017272
SPT(16)	2112891371249895169	0 10 24 48 64 90 114 118 150 154 178 204 220 244 258 268	-1045784999680
SPT(16)	2112891771953057077	0 22 52 54 64 112 154 180 274 300 342 390 400 402 432 454	-645081837772
SPT(16)	2112891901199651119	0 22 42 60 78 88 94 114 148 168 174 184 202 220 240 262	-515835243730
SPT(16)	2112892843317915691	0 6 126 132 138 160 216 238 270 292 348 370 376 382 502 508	426283020842
SPT(16)	2112892982630412091	0 36 72 106 126 130 142 160 168 186 198 202 222 256 292 328	565595517242
STPT(10)	2112893171855947079	0 2 18 20 30 32 42 44 60 62	754821052230
STPT(12)	2112893485208020817	0 2 30 32 54 56 210 212 234 236 264 266	1068173125968
SPT(16)	2112893578425420767	0 20 26 72 84 114 140 144 182 186 212 242 254 300 306 326	1161390525918