Prime p₀= 84556022943843509 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 16 2 16 2 22 2 28 2 (?)
a_n: 0 2 42 44 60 62 78 80 102 104 132 134
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: 134
Found by: [SG-2W]Kurzer
db: batch=67, k=12, 40 16 16 22 28

SPT(14)	84555958030739749	0 12 64 72 112 120 154 180 214 222 262 270 322 334	-64913103760
TPT(12)	84555994690490777	0 2 60 62 84 86 114 116 150 152 180 182	-28253352732
SPT(14)	84555995005311749	0 14 20 38 140 152 174 188 210 222 324 342 348 362	-27938531760
SPT(14)	84555996423811459	0 10 30 54 60 84 88 204 208 232 238 262 282 292	-26520032050
SPT(14)	84555996436747369	0 10 28 52 72 102 112 150 160 190 210 234 252 262	-26507096140
SPT(16)	84556012519801313	0 18 24 38 60 74 110 138 140 168 204 218 240 254 260 278	-10424042196
SPT(14)	84556067174607857	0 12 24 36 66 80 86 90 96 110 140 152 164 176	44230764348
SPT(14)	84556068092535373	0 34 64 70 78 96 118 126 148 166 174 180 210 244	45148691864
SPT(14)	84556073517882037	0 10 12 42 64 112 130 144 162 210 232 262 264 274	50574038528
SPT(14)	84556074726611459	0 2 20 54 72 90 98 144 152 170 188 222 240 242	51782767950
TPT(12)	84556081929805301	0 2 48 50 90 92 126 128 138 140 156 158	58985961792