Prime p₀= 296059413621497597 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 22 2 94 2 100 2 10 2 28 2 (?)
a_n: 0 2 24 26 120 122 222 224 234 236 264 266
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: 266
Found by: vaughan
db: batch=69, k=12, 22 94 100 10 28

SPT(16)	296059348908655921	0 10 18 42 52 70 72 96 112 136 138 156 166 190 198 208	-64712841676
SPT(14)	296059367650984073	0 14 38 96 104 110 140 174 204 210 218 276 300 314	-45970513524
SPT(14)	296059372406522671	0 6 18 52 90 100 108 220 228 238 276 310 322 328	-41214974926
SPT(14)	296059395343460569	0 10 42 52 108 130 132 280 282 304 360 370 402 412	-18278037028
SPT(14)	296059408838838703	0 34 58 60 90 106 126 178 198 214 244 246 270 304	-4782658894
SPT(14)	296059411904757367	0 10 72 84 114 154 174 262 282 322 352 364 426 436	-1716740230
SPT(14)	296059433728789811	0 12 20 48 62 80 92 138 150 168 182 210 218 230	20107292214
SPT(16)	296059437376245799	0 28 90 100 114 144 172 180 232 240 268 298 312 322 384 412	23754748202
SPT(16)	296059455738340499	0 24 32 50 84 104 144 164 228 248 288 308 342 360 368 392	42116842902
SPT(14)	296059457129750939	0 20 42 48 50 92 98 114 120 162 164 170 192 212	43508253342
SPT(14)	296059475315323261	0 70 100 126 166 178 202 216 240 252 292 318 348 418	61693825664