Prime p₀= 3896168360081 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 10 2 10 2 58 2 64 2 (?)
a_n: 0 2 6 8 18 20 30 32 90 92 156 158
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: 158
Found by: [AF>Amis des Lapins] Ceclo
db: batch=60, k=12, 4 10 10 58 64

SPT(14)	3892351107781	0 10 28 30 48 58 76 90 108 118 136 138 156 166	-3817252300
STPT(10)	3892969027637	0 2 30 32 42 44 54 56 84 86	-3199332444
TPT(12)	3893157381317	0 2 72 74 150 152 162 164 204 206 240 242	-3010978764
SPT(14)	3893316613331	0 6 48 66 116 122 150 158 186 192 242 260 302 308	-2851746750
TPT(12)	3894110809241	0 2 30 32 78 80 90 92 156 158 168 170	-2057550840
TPT(12)	3895912687481	0 2 6 8 48 50 78 80 138 140 150 152	-255672600
STPT(10)	3896720637749	0 2 18 20 30 32 42 44 60 62	552277668
TPT(12)	3897774617027	0 2 12 14 42 44 54 56 90 92 102 104	1606256946
SPT(14)	3898776558931	0 22 52 60 72 102 108 112 118 148 160 168 198 220	2608198850
SPT(14)	3900739933081	0 6 18 28 46 70 102 106 138 162 180 190 202 208	4571573000
SPT(16)	3901189732351	0 6 42 46 48 66 70 72 106 108 112 130 132 136 172 178	5021372270