Prime p₀= 223499557366462961 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 34 2 70 2 16 2 130 2 16 2 (?)
a_n: 0 2 36 38 108 110 126 128 258 260 276 278
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: 278
Found by: Alnitak2019
db: batch=69, k=12, 34 70 16 130 16

SPT(14)	223499504994797767	0 16 24 46 84 94 136 204 246 256 294 316 324 340	-52371665194
SPT(14)	223499508904999883	0 14 36 96 98 110 138 176 204 216 218 278 300 314	-48461463078
TPT(12)	223499513434053509	0 2 30 32 72 74 78 80 120 122 132 134	-43932409452
SPT(14)	223499516418792937	0 60 70 96 124 144 154 222 232 252 280 306 316 376	-40947670024
TPT(12)	223499534206148507	0 2 60 62 102 104 114 116 150 152 240 242	-23160314454
SPT(14)	223499536054197329	0 20 24 42 80 84 90 254 260 264 302 320 324 344	-21312265632
SPT(14)	223499566346406989	0 2 48 92 108 150 198 224 272 314 330 374 420 422	8979944028
SPT(14)	223499566658394349	0 4 42 82 94 114 142 192 220 240 252 292 330 334	9291931388
SPT(14)	223499579814991159	0 12 30 40 60 70 72 82 84 94 114 124 142 154	22448528198
SPT(14)	223499584856032909	0 22 28 30 48 100 112 120 132 184 202 204 210 232	27489569948
TPT(12)	223499596019455529	0 2 72 74 132 134 168 170 252 254 270 272	38652992568