Prime p₀= 215842096104931949 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 46 2 28 2 220 2 10 2 16 2 (?)
a_n: 0 2 48 50 78 80 300 302 312 314 330 332
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: 332
Found by: Megacruncher
db: batch=69, k=12, 46 28 220 10 16

SPT(14)	215842045089556489	0 24 64 94 112 148 174 178 204 240 258 288 328 352	-51015375460
SPT(14)	215842046157204331	0 12 22 40 78 90 96 112 118 130 168 186 196 208	-49947727618
SPT(14)	215842064251798549	0 12 60 102 174 180 210 214 244 250 322 364 412 424	-31853133400
SPT(14)	215842069540375051	0 16 30 36 46 78 88 138 148 180 190 196 210 226	-26564556898
TPT(12)	215842076749873487	0 2 90 92 102 104 222 224 264 266 270 272	-19355058462
SPT(14)	215842087090005949	0 4 18 58 72 94 114 238 258 280 294 334 348 352	-9014926000
TPT(14)	215842106766022127	0 2 24 26 54 56 150 152 210 212 354 356 360 362	10661090178
SPT(14)	215842116687042337	0 22 66 84 90 100 112 114 126 136 142 160 204 226	20582110388
SPT(14)	215842122617176603	0 34 48 64 70 78 88 150 160 168 174 190 204 238	26512244654
TPT(12)	215842125247977209	0 2 48 50 60 62 78 80 120 122 198 200	29143045260
TPT(12)	215842148109637727	0 2 54 56 144 146 150 152 192 194 234 236	52004705778