Prime p₀= 4813315922042657 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 10 2 10 2 16 2 10 2 (?)
a_n: 0 2 30 32 42 44 54 56 72 74 84 86
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: 86
Found by: [B@P] Daniel
db: batch=61, k=12, 28 10 10 16 10

SPT(14)	4813292747252147	0 12 60 104 116 120 144 212 236 240 252 296 344 356	-23174790510
SPT(14)	4813292807297531	0 12 18 30 60 72 90 110 128 140 170 182 188 200	-23114745126
SPT(14)	4813299310642181	0 2 36 60 62 116 132 170 186 240 242 266 300 302	-16611400476
SPT(14)	4813306315539193	0 10 54 58 84 90 120 154 184 190 216 220 264 274	-9606503464
SPT(14)	4813307186091329	0 48 60 72 74 84 102 170 188 198 200 212 224 272	-8735951328
SPT(14)	4813308179224661	0 12 30 32 36 42 90 98 146 152 156 158 176 188	-7742817996
SPT(14)	4813323120951043	0 28 34 90 108 124 150 184 210 226 244 300 306 334	7198908386
SPT(14)	4813324572172817	0 12 54 72 86 114 116 120 122 150 164 182 224 236	8650130160
TPT(12)	4813324978428917	0 2 54 56 84 86 144 146 222 224 240 242	9056386260
SPT(14)	4813332243038287	0 12 40 42 70 72 82 114 124 126 154 156 184 196	16320995630
SPT(14)	4813335671092297	0 10 24 30 46 66 70 90 94 114 130 136 150 160	19749049640