Prime p₀= 119890712417774489 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 46 2 22 2 4 2 40 2 40 2 (?)
a_n: 0 2 48 50 72 74 78 80 120 122 162 164
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: 164
Found by: amazing
db: batch=67, k=12, 46 22 4 40 40

SPT(14)	119890650738345469	0 10 12 42 52 90 112 162 184 222 232 262 264 274	-61679429020
SPT(14)	119890656717590189	0 8 44 48 98 138 188 204 254 294 344 348 384 392	-55700184300
TPT(12)	119890670847152369	0 2 90 92 132 134 162 164 168 170 288 290	-41570622120
SPT(14)	119890704372446251	0 12 28 40 52 82 102 118 138 168 180 192 208 220	-8045328238
SPT(14)	119890704583550893	0 28 40 46 150 154 186 208 240 244 348 354 366 394	-7834223596
SPT(14)	119890706783886539	0 18 30 54 68 78 98 114 134 144 158 182 194 212	-5633887950
SPT(14)	119890737649029481	0 16 58 66 172 220 238 270 288 336 442 450 492 508	25231254992
SPT(14)	119890738399251499	0 10 30 88 144 168 184 198 214 238 294 352 372 382	25981477010
SPT(14)	119890754628195581	0 30 42 60 72 98 116 132 150 176 188 206 218 248	42210421092
SPT(16)	119890755200639999	0 2 42 44 78 80 90 92 120 122 132 134 168 170 210 212	42782865510
TPT(16)	119890755200639999	0 2 42 44 78 80 90 92 120 122 132 134 168 170 210 212	42782865510