Prime p₀= 4113029535491 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 22 2 58 2 28 2 4 2 (?)
a_n: 0 2 6 8 30 32 90 92 120 122 126 128
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: 128
Found by: [AF>Amis des Lapins] Ceclo
db: batch=60, k=12, 4 22 58 28 4

SPT(14)	4106248677779	0 2 8 68 80 108 128 162 182 210 222 282 288 290	-6780857712
SPT(14)	4106606889361	0 30 48 132 196 202 210 238 246 252 316 400 418 448	-6422646130
SPT(14)	4107011458687	0 4 100 106 112 120 132 154 166 174 180 186 282 286	-6018076804
SPT(14)	4107251393983	0 6 28 40 64 70 118 126 174 180 204 216 238 244	-5778141508
SPT(14)	4107426946523	0 6 8 14 20 36 50 54 68 84 90 96 98 104	-5602588968
SPT(14)	4112599220731	0 28 30 66 72 78 82 96 100 106 112 148 150 178	-430314760
SPT(14)	4113596212771	0 40 42 78 82 90 112 126 148 156 160 196 198 238	566677280
SPT(14)	4117046422507	0 12 30 40 42 82 100 126 144 184 186 196 214 226	4016887016
SPT(14)	4118867364767	0 2 60 80 84 96 102 134 140 152 156 176 234 236	5837829276
SPT(14)	4121424222733	0 16 24 58 60 90 108 136 154 184 186 220 228 244	8394687242
SPT(14)	4122840881737	0 22 34 54 76 90 96 100 106 120 142 162 174 196	9811346246