Prime p₀= 2828099933233619687 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 22 2 4 2 22 2 4 2 22 2 (?)
a_n: 0 2 24 26 30 32 54 56 60 62 84 86
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: 86
Found by: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=12, 2 22 2 4 2 22

SPT(16)	2828098537392056483	0 24 36 38 66 80 98 114 140 156 174 188 216 218 230 254	-1395841563204
SPT(16)	2828098942222360091	0 50 80 90 98 102 152 182 186 216 266 270 278 288 318 368	-991011259596
STPT(10)	2828099384841181271	0 2 6 8 18 20 30 32 36 38	-548392438416
STPT(10)	2828099578869066497	0 2 30 32 72 74 114 116 144 146	-354364553190
STPT(10)	2828099698316127797	0 2 42 44 72 74 102 104 144 146	-234917491890
STPT(10)	2828099752259334977	0 2 54 56 72 74 90 92 144 146	-180974284710
SPT(16)	2828100288011627557	0 4 12 60 70 120 144 154 162 172 196 246 256 304 312 316	354778007870
SPT(16)	2828100365035151573	0 26 110 204 246 248 264 266 288 290 306 308 350 444 528 554	431801531886
STPT(10)	2828100418582845179	0 2 48 50 90 92 132 134 180 182	485349225492
SPT(16)	2828100763797740029	0 30 42 48 58 60 84 102 130 148 172 174 184 190 202 232	830564120342
SPT(16)	2828100918144796337	0 14 24 30 60 72 102 116 120 134 164 176 206 212 222 236	984911176650