Prime p₀= 337361948617852217 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 28 2 10 2 34 2 40 2 (?)
a_n: 0 2 12 14 42 44 54 56 90 92 132 134
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: WyerByter
db: batch=70, k=12, 10 28 10 34 40

SPT(14)	337361888549437811	0 2 12 30 36 38 50 198 210 212 218 236 246 248	-60068414406
SPT(14)	337361910773025829	0 28 34 42 54 82 94 108 120 148 160 168 174 202	-37844826388
TPT(12)	337361912493230657	0 2 30 32 60 62 84 86 114 116 132 134	-36124621560
TPT(12)	337361919850182077	0 2 42 44 90 92 114 116 132 134 264 266	-28767670140
SPT(14)	337361927066953793	0 56 60 86 110 116 140 144 168 174 198 224 228 284	-21550898424
SPT(14)	337361939260846471	0 60 70 88 90 100 126 130 156 166 168 186 196 256	-9357005746
SPT(14)	337361958105331937	0 12 30 32 50 60 72 122 134 144 162 164 182 194	9487479720
SPT(16)	337361963249556041	0 42 66 68 80 90 128 132 146 150 188 198 210 212 236 278	14631703824
SPT(14)	337361965349405089	0 34 42 48 52 118 130 132 144 210 214 220 228 262	16731552872
SPT(14)	337361979122093699	0 42 50 90 114 132 134 138 140 158 182 222 230 272	30504241482
TPT(12)	337361984817426341	0 2 78 80 120 122 126 128 276 278 318 320	36199574124