Prime p₀= 574575747191248289 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 76 2 76 2 10 2 16 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182 198 200
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: 200
Found by: arkiss
db: batch=71, k=12, 10 76 76 10 16

SPT(14)	574575701328043847	0 12 42 50 54 56 60 116 120 122 126 134 164 176	-45863204442
SPT(14)	574575709191718279	0 28 48 64 78 94 114 118 138 154 168 184 204 232	-37999530010
SPT(14)	574575721492635431	0 32 62 66 78 90 98 150 158 170 182 186 216 248	-25698612858
SPT(14)	574575722918243017	0 52 60 90 100 112 132 154 174 186 196 226 234 286	-24273005272
TPT(12)	574575724809776447	0 2 42 44 60 62 84 86 90 92 132 134	-22381471842
SPT(14)	574575737768938531	0 22 28 48 70 72 90 178 196 198 220 240 246 268	-9422309758
STPT(10)	574575747191248289	0 2 12 14 90 92 168 170 180 182	0
SPT(16)	574575777246211291	0 6 12 22 28 40 78 132 196 250 288 300 306 316 322 328	30054963002
SPT(14)	574575778548772279	0 24 28 34 52 54 60 82 88 90 108 114 118 142	31357523990
SPT(14)	574575786960824513	0 14 18 30 128 168 198 200 230 270 368 380 384 398	39769576224
SPT(14)	574575800583521371	0 12 52 60 78 90 126 172 208 220 238 246 286 298	53392273082