Prime p₀= 1524404321759082767 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 46 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 90 92 120 122 132 134
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: 134
Found by: Laurent Cheylat
db: batch=78, k=12, 2 10 2 28 2 46

SPT(16)	1524403261444806607	0 12 42 60 82 100 102 130 156 184 186 204 226 244 274 286	-1060314276160
SPT(18)	1524403339445326853	0 18 56 66 84 104 108 126 144 170 188 206 210 230 248 258 296 314	-982313755914
STPT(10)	1524403573183415591	0 2 6 8 18 20 30 32 36 38	-748575667176
STPT(10)	1524403585692614447	0 2 84 86 162 164 240 242 324 326	-736066468320
STPT(10)	1524403971515435201	0 2 36 38 78 80 120 122 156 158	-350243647566
STPT(10)	1524404247493044011	0 2 6 8 48 50 90 92 96 98	-74266038756
SPT(16)	1524404519606541757	0 42 60 66 100 130 136 142 144 150 156 186 220 226 244 286	197847458990
SPT(16)	1524405283937711531	0 30 56 68 96 98 116 170 198 252 270 272 300 312 338 368	962178628764
TPT(14)	1524405286652918009	0 2 60 62 72 74 90 92 132 134 138 140 240 242	964893835242
SPT(16)	1524405633817139251	0 28 66 76 78 112 148 150 208 210 246 280 282 292 330 358	1312058056484
SPT(16)	1524405892320177367	0 30 36 114 124 130 172 180 256 264 306 312 322 400 406 436	1570561094600