Prime p₀= 378609633581491649 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 148 2 196 2 10 2 10 2 16 2 (?)
a_n: 0 2 150 152 348 350 360 362 372 374 390 392
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: 392
Found by: Cruncher Pete
db: batch=70, k=12, 148 196 10 10 16

SPT(14)	378609553100963033	0 36 54 68 78 98 110 114 126 146 156 170 188 224	-80480528616
TPT(12)	378609579399092861	0 2 96 98 120 122 156 158 180 182 210 212	-54182398788
TPT(14)	378609582203217017	0 2 30 32 72 74 102 104 132 134 144 146 174 176	-51378274632
SPT(16)	378609585967797581	0 8 20 48 68 78 90 152 216 278 290 300 320 348 360 368	-47613694068
SPT(14)	378609629656852651	0 10 28 52 70 78 100 120 142 150 168 192 210 220	-3924638998
SPT(14)	378609633074390227	0 52 60 100 112 132 142 144 154 174 186 226 234 286	-507101422
STPT(10)	378609640656571097	0 2 54 56 72 74 90 92 144 146	7075079448
SPT(14)	378609653693154419	0 18 30 84 138 144 170 228 254 260 314 368 380 398	20111662770
SPT(14)	378609654120106919	0 12 20 30 32 54 72 182 200 222 224 234 242 254	20538615270
SPT(14)	378609667136441809	0 4 28 48 54 60 78 94 112 118 124 144 168 172	33554950160
SPT(14)	378609686472801809	0 18 48 50 60 110 132 230 252 302 312 314 344 362	52891310160