Prime p₀= 24314124022232969 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 58 2 4 2 28 2 28 2 (?)
a_n: 0 2 12 14 72 74 78 80 108 110 138 140
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: Farscape
db: batch=65, k=12, 10 58 4 28 28

SPT(14)	24314064009767137	0 40 46 72 102 112 124 132 144 154 184 210 216 256	-60012465832
SPT(14)	24314072673952123	0 6 10 24 40 54 84 100 130 144 160 174 178 184	-51348280846
SPT(14)	24314078024319947	0 6 14 24 54 56 62 84 90 92 122 132 140 146	-45997913022
TPT(12)	24314082969744299	0 2 18 20 42 44 90 92 180 182 312 314	-41052488670
SPT(14)	24314090408410519	0 40 52 70 78 82 90 112 120 124 132 150 162 202	-33613822450
SPT(14)	24314093287740409	0 18 24 28 48 54 88 90 124 130 150 154 160 178	-30734492560
SPT(14)	24314138102972701	0 22 42 60 78 120 130 180 190 232 250 268 288 310	14080739732
SPT(14)	24314138696354453	0 20 24 140 156 168 176 198 206 218 234 350 354 374	14674121484
SPT(14)	24314140064712349	0 12 18 22 40 42 52 78 88 90 108 112 118 130	16042479380
TPT(12)	24314146730155697	0 2 60 62 72 74 120 122 162 164 174 176	22707922728
TPT(12)	24314155833638789	0 2 30 32 60 62 72 74 150 152 222 224	31811405820