Prime p₀= 167121612954731 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 34 2 70 2 16 2 22 2 (?)
a_n: 0 2 30 32 66 68 138 140 156 158 180 182
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: stoneageman
db: batch=60, k=12, 28 34 70 16 22

SPT(14)	167097454695161	0 2 30 60 96 116 162 176 222 242 278 308 336 338	-24158259570
SPT(14)	167105324390723	0 36 78 90 108 140 146 168 174 206 224 236 278 314	-16288564008
SPT(14)	167107708618363	0 24 28 30 76 78 90 94 106 108 154 156 160 184	-13904336368
SPT(14)	167115936250721	0 8 20 30 50 78 80 96 98 126 146 156 168 176	-5676704010
SPT(14)	167120547287363	0 48 54 60 68 108 120 164 176 216 224 230 236 284	-1065667368
SPT(14)	167121392156167	0 22 40 42 54 60 150 166 256 262 274 276 294 316	-220798564
TPT(12)	167124226557521	0 2 48 50 60 62 78 80 120 122 126 128	2613602790
SPT(14)	167125055124767	0 12 60 62 102 104 116 120 132 134 174 176 224 236	3442170036
SPT(14)	167131041753919	0 28 48 52 60 88 112 150 174 202 210 214 234 262	9428799188
SPT(14)	167132137332367	0 34 36 106 114 120 124 162 166 172 180 250 252 286	10524377636
SPT(14)	167133241030207	0 22 34 70 84 90 96 100 106 112 126 162 174 196	11628075476