Prime p₀= 282267121877718449 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 64 2 22 2 4 2 52 2 (?)
a_n: 0 2 42 44 108 110 132 134 138 140 192 194
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: 194
Found by: desktop64
db: batch=69, k=12, 40 64 22 4 52

SPT(14)	282266985986120249	0 20 38 48 50 60 108 182 230 240 242 252 270 290	-135891598200
SPT(14)	282267004850698739	0 104 132 158 182 254 330 362 438 510 534 560 588 692	-117027019710
SPT(14)	282267024406438207	0 66 82 100 114 136 166 210 240 262 276 294 310 376	-97471280242
SPT(16)	282267069637680263	0 6 36 38 66 90 110 140 174 204 224 248 276 278 308 314	-52240038186
SPT(14)	282267073850992117	0 12 52 54 76 90 96 130 136 150 172 174 214 226	-48026726332
SPT(14)	282267119927549951	0 56 80 102 116 132 140 168 176 192 206 228 252 308	-1950168498
SPT(14)	282267125318639297	0 26 50 90 114 126 156 194 224 236 260 300 324 350	3440920848
SPT(14)	282267131514936401	0 12 30 36 42 66 72 80 86 110 116 122 140 152	9637217952
SPT(14)	282267147884327833	0 30 34 36 64 78 90 184 196 210 238 240 244 274	26006609384
SPT(14)	282267157292220833	0 18 54 90 96 98 140 144 186 188 194 230 266 284	35414502384
STPT(10)	282267179800315649	0 2 42 44 60 62 78 80 120 122	57922597200