Prime p₀= 2101300857093726227 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 46 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 90 92 102 104 132 134
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: 134
Found by: [SG-2W]Kurzer
db: batch=80, k=12, 2 28 2 10 2 46

SPT(16)	2101299834617406727	0 6 16 40 66 96 100 124 126 150 154 184 210 234 244 250	-1022476319500
SPT(16)	2101299913471373011	0 22 78 102 118 126 132 148 150 166 172 180 196 220 276 298	-943622353216
STPT(10)	2101300096623371141	0 2 36 38 78 80 120 122 156 158	-760470355086
STPT(10)	2101300381708813469	0 2 18 20 30 32 42 44 60 62	-475384912758
TPT(14)	2101300581190122131	0 2 78 80 96 98 108 110 138 140 150 152 198 200	-275903604096
STPT(10)	2101300587610866077	0 2 72 74 102 104 132 134 204 206	-269482860150
STPT(10)	2101301478237492647	0 2 30 32 42 44 54 56 84 86	621143766420
SPT(16)	2101301482494816773	0 44 68 78 114 138 164 174 254 264 290 314 350 360 384 428	625401090546
SPT(16)	2101301753792054641	0 22 28 42 48 66 120 132 136 148 202 220 226 240 246 268	896698328414
STPT(10)	2101301903956505249	0 2 18 20 30 32 42 44 60 62	1046862779022
SPT(16)	2101302416037435097	0 12 34 40 76 102 112 126 130 144 154 180 216 222 244 256	1558943708870