Prime p₀= 11558881867627637 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 52 2 34 2 22 2 58 2 34 2 (?)
a_n: 0 2 54 56 90 92 114 116 174 176 210 212
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: 212
Found by: UBT - Timbo
db: batch=62, k=12, 52 34 22 58 34

SPT(14)	11558838433281401	0 6 20 26 36 42 78 110 146 152 162 168 182 188	-43434346236
TPT(12)	11558845952161691	0 2 30 32 66 68 78 80 138 140 150 152	-35915465946
SPT(14)	11558856358908241	0 48 120 130 148 162 190 258 286 300 318 328 400 448	-25508719396
STPT(10)	11558860644047411	0 2 30 32 60 62 90 92 120 122	-21223580226
SPT(16)	11558864398045313	0 24 30 38 60 74 84 86 138 140 150 164 186 194 200 224	-17469582324
SPT(14)	11558865295368907	0 42 70 90 112 120 180 244 304 312 334 354 382 424	-16572258730
SPT(14)	11558883794230067	0 12 14 26 50 60 80 96 116 126 150 162 164 176	1926602430
SPT(14)	11558885008633429	0 10 42 48 52 60 84 88 112 120 124 130 162 172	3141005792
SPT(14)	11558888471830099	0 10 22 78 82 100 114 148 162 180 184 240 252 262	6604202462
SPT(14)	11558894952758981	0 18 92 182 210 242 252 308 318 350 378 468 542 560	13085131344
SPT(14)	11558897159955209	0 12 32 50 54 108 122 240 254 308 312 330 350 362	15292327572