Prime p₀= 87027128243034599 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 34 2 118 2 28 2 22 2 (?)
a_n: 0 2 12 14 48 50 168 170 198 200 222 224
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: 224
Found by: nenym
db: batch=67, k=12, 10 34 118 28 22

SPT(14)	87027068770073141	0 2 8 12 20 42 68 150 176 198 206 210 216 218	-59472961458
SPT(14)	87027073548987581	0 36 50 78 116 126 150 158 182 192 230 258 272 308	-54694047018
SPT(14)	87027077788715957	0 12 26 32 60 62 72 170 180 182 210 216 230 242	-50454318642
SPT(14)	87027089681437007	0 90 92 134 182 222 254 312 344 384 432 474 476 566	-38561597592
SPT(14)	87027095086961377	0 22 52 60 82 112 124 132 144 174 196 204 234 256	-33156073222
TPT(12)	87027096902580299	0 2 48 50 90 92 108 110 132 134 150 152	-31340454300
SPT(14)	87027143095220917	0 30 66 120 144 156 186 210 240 252 276 330 366 396	14852186318
SPT(14)	87027179803062593	0 8 26 66 90 96 168 176 248 254 278 318 336 344	51560027994
TPT(12)	87027187397119391	0 2 78 80 90 92 186 188 240 242 246 248	59154084792
SPT(14)	87027191216108579	0 24 38 42 44 72 80 372 380 408 410 414 428 452	62973073980
SPT(14)	87027208859060347	0 52 66 82 96 166 192 220 246 316 330 346 360 412	80616025748