Prime p₀= 162582132431000729 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 70 2 28 2 64 2 22 2 16 2 (?)
a_n: 0 2 72 74 102 104 168 170 192 194 210 212
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: 212
Found by: Farscape
db: batch=67, k=12, 70 28 64 22 16

SPT(14)	162582065848846321	0 18 40 72 112 228 250 270 292 408 448 480 502 520	-66582154408
SPT(16)	162582068203457351	0 56 86 96 128 140 152 168 170 186 198 210 242 252 282 338	-64227543378
SPT(14)	162582105756455431	0 16 28 30 36 40 46 72 78 82 88 90 102 118	-26674545298
SPT(14)	162582113897598839	0 8 72 104 114 120 138 164 182 188 198 230 294 302	-18533401890
SPT(14)	162582122805568643	0 24 38 50 56 108 116 168 176 228 234 246 260 284	-9625432086
SPT(14)	162582124278679379	0 30 42 84 92 108 152 180 224 240 248 290 302 332	-8152321350
SPT(14)	162582215122096001	0 12 30 56 60 66 86 96 116 122 126 152 170 182	82691095272
TPT(12)	162582219667604291	0 2 36 38 78 80 90 92 120 122 126 128	87236603562
SPT(14)	162582247405550627	0 6 30 32 50 116 132 254 270 336 354 356 380 386	114974549898
SPT(14)	162582258615046849	0 88 90 108 120 130 132 148 150 160 172 190 192 280	126184046120
SPT(14)	162582266571914041	0 12 40 48 52 66 72 136 142 156 160 168 196 208	134140913312