Prime p₀= 234571981801262249 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 4 2 10 2 40 2 34 2 (?)
a_n: 0 2 42 44 48 50 60 62 102 104 138 140
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: 140
Found by: Megacruncher
db: batch=69, k=12, 40 4 10 40 34

TPT(12)	234571949459819009	0 2 108 110 120 122 132 134 150 152 162 164	-32341443240
SPT(14)	234571949699131469	0 14 38 50 68 84 98 174 188 204 222 234 258 272	-32102130780
SPT(16)	234571956492517459	0 18 48 78 84 88 100 114 118 132 144 148 154 184 214 232	-25308744790
SPT(14)	234571961833775941	0 16 30 58 70 82 102 196 216 228 240 268 282 298	-19967486308
SPT(14)	234571969269448049	0 42 110 114 170 180 182 192 194 204 260 264 332 374	-12531814200
SPT(14)	234571981172551951	0 22 52 90 102 112 118 120 126 136 148 186 216 238	-628710298
SPT(14)	234571988647055089	0 10 18 60 70 72 108 112 148 150 160 202 210 220	6845792840
SPT(14)	234572007287406289	0 12 40 54 64 102 112 132 142 180 190 204 232 244	25486144040
SPT(16)	234572010227199401	0 8 38 42 56 60 66 72 86 92 98 102 116 120 150 158	28425937152
SPT(14)	234572018524722407	0 6 20 42 146 152 156 170 174 180 284 306 320 326	36723460158
SPT(14)	234572020028963873	0 36 54 68 126 144 156 158 170 188 246 260 278 314	38227701624