Prime p₀= 84556134805524101 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 94 2 28 2 28 2 10 2 16 2 (?)
a_n: 0 2 96 98 126 128 156 158 168 170 186 188
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: 188
Found by: [SG-2W]Kurzer
db: batch=67, k=12, 94 28 28 10 16

SPT(14)	84556067174607857	0 12 24 36 66 80 86 90 96 110 140 152 164 176	-67630916244
SPT(14)	84556068092535373	0 34 64 70 78 96 118 126 148 166 174 180 210 244	-66712988728
SPT(14)	84556073517882037	0 10 12 42 64 112 130 144 162 210 232 262 264 274	-61287642064
SPT(14)	84556074726611459	0 2 20 54 72 90 98 144 152 170 188 222 240 242	-60078912642
TPT(12)	84556081929805301	0 2 48 50 90 92 126 128 138 140 156 158	-52875718800
SPT(14)	84556095427992263	0 36 54 66 78 110 140 174 204 236 248 260 278 314	-39377531838
SPT(14)	84556160913314939	0 24 84 92 104 122 198 224 300 318 330 338 398 422	26107790838
SPT(14)	84556164984539827	0 12 36 52 64 66 90 166 190 192 204 220 244 256	30179015726
SPT(14)	84556186964207681	0 32 50 62 90 98 128 132 162 170 198 210 228 260	52158683580
SPT(14)	84556192415065739	0 14 18 44 54 78 84 128 134 158 168 194 198 212	57609541638
SPT(14)	84556195404304369	0 28 30 54 58 64 118 120 174 180 184 208 210 238	60598780268