Prime p₀= 262984247676639869 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 10 2 10 2 34 2 232 2 (?)
a_n: 0 2 18 20 30 32 42 44 78 80 312 314
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: 314
Found by: Ralfy
db: batch=69, k=12, 16 10 10 34 232

SPT(14)	262984177289991931	0 16 36 42 46 60 70 132 142 156 160 166 186 202	-70386647938
SPT(16)	262984181269950253	0 40 60 64 66 78 106 136 138 168 196 208 210 214 234 274	-66406689616
SPT(14)	262984187216022641	0 18 42 48 152 218 222 308 312 378 482 488 512 530	-60460617228
TPT(12)	262984194279663587	0 2 12 14 54 56 120 122 132 134 150 152	-53396976282
SPT(14)	262984219171599413	0 14 26 36 98 108 138 146 176 186 248 258 270 284	-28505040456
SPT(14)	262984236512189323	0 24 66 96 108 124 126 178 180 196 208 238 280 304	-11164450546
SPT(14)	262984260133244939	0 72 78 90 98 122 170 210 258 282 290 302 308 380	12456605070
SPT(14)	262984290759297197	0 62 72 150 182 192 206 366 380 390 422 500 510 572	43082657328
SPT(14)	262984301867270959	0 10 24 28 34 54 112 120 178 198 204 208 222 232	54190631090
SPT(16)	262984311035121391	0 28 66 78 88 126 130 162 226 258 262 300 310 322 360 388	63358481522
SPT(14)	262984315152205189	0 54 60 78 118 124 160 252 288 294 334 352 358 412	67475565320