Prime p₀= 557325615457463537 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 22 2 16 2 70 2 28 2 34 2 (?)
a_n: 0 2 24 26 42 44 114 116 144 146 180 182
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: 182
Found by: marsinph
db: batch=71, k=12, 22 16 70 28 34

SPT(14)	557325500131800307	0 22 24 42 46 84 94 102 112 150 154 172 174 196	-115325663230
SPT(14)	557325513633760789	0 30 58 60 78 88 100 150 162 172 190 192 220 250	-101823702748
SPT(14)	557325519353990581	0 6 12 18 28 52 76 102 126 150 160 166 172 178	-96103472956
SPT(14)	557325526432429457	0 20 50 62 66 72 84 92 104 110 114 126 156 176	-89025034080
SPT(14)	557325584410814489	0 2 50 54 72 90 98 174 182 200 218 222 270 272	-31046649048
TPT(12)	557325596081532539	0 2 42 44 48 50 162 164 198 200 240 242	-19375930998
SPT(14)	557325616231986977	0 12 26 56 72 84 96 260 272 284 300 330 344 356	774523440
SPT(16)	557325626660025059	0 14 30 102 110 134 140 144 170 174 180 204 212 284 300 314	11202561522
SPT(16)	557325630536886293	0 18 60 78 84 104 108 120 164 176 180 200 206 224 266 284	15079422756
TPT(12)	557325632113097759	0 2 72 74 90 92 132 134 162 164 198 200	16655634222
SPT(14)	557325632930191117	0 4 40 42 54 82 100 114 132 160 172 174 210 214	17472727580