Prime p₀= 24314146730155697 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 58 2 10 2 46 2 40 2 10 2 (?)
a_n: 0 2 60 62 72 74 120 122 162 164 174 176
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: 176
Found by: Farscape
db: batch=65, k=12, 58 10 46 40 10

SPT(14)	24314090408410519	0 40 52 70 78 82 90 112 120 124 132 150 162 202	-56321745178
SPT(14)	24314093287740409	0 18 24 28 48 54 88 90 124 130 150 154 160 178	-53442415288
TPT(12)	24314124022232969	0 2 12 14 72 74 78 80 108 110 138 140	-22707922728
SPT(14)	24314138102972701	0 22 42 60 78 120 130 180 190 232 250 268 288 310	-8627182996
SPT(14)	24314138696354453	0 20 24 140 156 168 176 198 206 218 234 350 354 374	-8033801244
SPT(14)	24314140064712349	0 12 18 22 40 42 52 78 88 90 108 112 118 130	-6665443348
TPT(12)	24314155833638789	0 2 30 32 60 62 72 74 150 152 222 224	9103483092
SPT(14)	24314174951190343	0 18 24 30 48 58 84 94 120 130 148 154 160 178	28221034646
SPT(14)	24314215542713099	0 12 104 182 234 248 254 258 264 278 330 408 500 512	68812557402
SPT(14)	24314221880926147	0 16 46 60 100 120 126 130 136 156 196 210 240 256	75150770450
SPT(14)	24314223323118181	0 10 18 48 66 70 76 162 168 172 190 220 228 238	76592962484