Prime p₀= 231713046637349447 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 16 2 22 2 46 2 40 2 (?)
a_n: 0 2 42 44 60 62 84 86 132 134 174 176
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: Ralfy
db: batch=69, k=12, 40 16 22 46 40

SPT(14)	231712989655075771	0 16 30 58 78 126 150 166 190 238 258 286 300 316	-56982273676
TPT(12)	231712998428047781	0 2 30 32 36 38 78 80 126 128 150 152	-48209301666
TPT(12)	231713014501681001	0 2 78 80 90 92 198 200 210 212 240 242	-32135668446
SPT(14)	231713016669403351	0 10 18 88 90 102 136 162 196 208 210 280 288 298	-29967946096
STPT(10)	231713022001879961	0 2 6 8 48 50 90 92 96 98	-24635469486
SPT(14)	231713032247961001	0 6 30 36 100 118 132 136 150 168 232 238 262 268	-14389388446
SPT(14)	231713083878786481	0 6 52 66 90 160 166 186 192 262 286 300 346 352	37241437034
TPT(14)	231713085342635681	0 2 36 38 66 68 108 110 120 122 168 170 246 248	38705286234
SPT(14)	231713110047234911	0 2 32 42 50 98 116 222 240 288 296 306 336 338	63409885464
TPT(12)	231713141907003707	0 2 12 14 54 56 84 86 144 146 150 152	95269654260
SPT(14)	231713151939817069	0 4 54 88 100 120 144 184 208 228 240 274 324 328	105302467622