Prime p₀= 4816492500073097 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 52 2 4 2 118 2 100 2 10 2 (?)
a_n: 0 2 54 56 60 62 180 182 282 284 294 296
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: 296
Found by: Dario666
db: batch=61, k=12, 52 4 118 100 10

SPT(14)	4816472004584041	0 28 46 60 70 88 96 112 120 138 148 162 180 208	-20495489056
SPT(14)	4816478675846161	0 22 30 42 58 70 88 90 108 120 136 148 156 178	-13824226936
SPT(14)	4816481287925401	0 12 52 66 70 90 96 112 118 138 142 156 196 208	-11212147696
SPT(14)	4816481620860199	0 12 28 52 70 82 112 180 210 222 240 264 280 292	-10879212898
SPT(14)	4816482865588657	0 22 40 42 70 72 84 142 154 156 184 186 204 226	-9634484440
SPT(14)	4816492251776207	0 30 84 90 92 120 122 132 134 162 164 170 224 254	-248296890
SPT(14)	4816500391365517	0 4 12 24 40 52 70 96 114 126 142 154 162 166	7891292420
SPT(14)	4816500984562327	0 30 34 40 42 54 82 114 142 154 156 162 166 196	8484489230
SPT(14)	4816501329698651	0 36 50 80 116 126 132 176 182 192 228 258 272 308	8829625554
SPT(14)	4816519447760309	0 14 20 32 38 44 50 72 78 84 90 102 108 122	26947687212
SPT(14)	4816521503147623	0 34 40 58 78 90 106 168 184 196 216 234 240 274	29003074526