Prime p₀= 171024834182111801 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 46 2 28 2 28 2 16 2 22 2 (?)
a_n: 0 2 48 50 78 80 108 110 126 128 150 152
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: 152
Found by: ChelseaOilman
db: batch=67, k=12, 46 28 28 16 22

SPT(14)	171024746182930609	0 28 40 48 54 60 72 100 112 118 124 132 144 172	-87999181192
SPT(14)	171024747588004031	0 30 80 86 98 102 140 168 206 210 222 228 278 308	-86594107770
SPT(20)	171024796301239273	0 40 54 70 96 150 156 196 204 240 274 310 318 358 364 418 444 460 474 514	-37880872528
SPT(14)	171024798417021391	0 30 42 66 108 118 220 258 360 370 412 436 448 478	-35765090410
SPT(14)	171024826923876797	0 2 72 114 170 174 176 180 182 186 242 284 354 356	-7258235004
SPT(14)	171024829678806067	0 30 54 82 130 144 154 252 262 276 324 352 376 406	-4503305734
SPT(16)	171024848667187871	0 6 30 68 96 116 156 182 186 212 252 272 300 338 362 368	14485076070
TPT(12)	171024857737277429	0 2 12 14 72 74 90 92 138 140 198 200	23555165628
TPT(12)	171024860569214387	0 2 24 26 114 116 150 152 204 206 234 236	26387102586
SPT(14)	171024897646105297	0 4 16 22 70 72 142 144 214 216 264 270 282 286	63463993496
SPT(14)	171024914539337897	0 12 20 26 36 44 86 90 132 140 150 156 164 176	80357226096