Prime p₀= 42638378409296777 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 10 2 76 2 10 2 40 2 (?)
a_n: 0 2 30 32 42 44 120 122 132 134 174 176
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: 176
Found by: UBT - Timbo
db: batch=65, k=12, 28 10 76 10 40

SPT(14)	42638332651658719	0 10 28 40 52 54 82 150 178 180 192 204 222 232	-45757638058
SPT(14)	42638344091691373	0 6 34 54 76 84 120 124 160 168 190 210 238 244	-34317605404
SPT(14)	42638348486879843	0 18 48 54 68 74 78 80 84 90 104 110 140 158	-29922416934
SPT(14)	42638360776581331	0 16 40 46 72 108 112 126 130 166 192 198 222 238	-17632715446
SPT(14)	42638373673717609	0 12 40 78 82 112 118 132 138 168 172 210 238 250	-4735579168
SPT(14)	42638374687085651	0 6 12 26 36 56 60 92 96 116 126 140 146 152	-3722211126
TPT(12)	42638384131812809	0 2 18 20 72 74 132 134 138 140 240 242	5722516032
TPT(12)	42638398927428947	0 2 12 14 84 86 144 146 222 224 240 242	20518132170
SPT(14)	42638401784665301	0 2 20 66 116 140 168 170 198 222 272 318 336 338	23375368524
SPT(14)	42638402077156957	0 10 40 70 82 112 162 172 222 252 264 294 324 334	23667860180
SPT(14)	42638408926889381	0 60 62 140 152 156 170 228 242 246 258 336 338 398	30517592604