Prime p₀= 1348729252293619121 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 4 2 40 2 28 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 78 80 120 122 126 128
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: 128
Found by: HenkM
db: batch=77, k=12, 2 4 2 40 2 28

STPT(12)	1348726721018564267	0 2 90 92 120 122 132 134 162 164 252 254	-2531275054854
STPT(10)	1348727759217975077	0 2 30 32 42 44 54 56 84 86	-1493075644044
STPT(10)	1348727770619295761	0 2 30 32 78 80 126 128 156 158	-1481674323360
SPT(16)	1348727839006104331	0 36 40 78 112 118 120 130 168 178 180 186 220 258 262 298	-1413287514790
SPT(16)	1348728795407856311	0 38 60 108 116 120 158 176 192 210 248 252 260 308 330 368	-456885762810
TPT(14)	1348729252293619109	0 2 12 14 18 20 60 62 90 92 132 134 138 140	-12
SPT(20)	1348729437414348221	0 26 78 86 110 126 140 156 168 200 246 278 290 306 320 336 360 368 420 446	185120729100
STPT(10)	1348729440724039019	0 2 48 50 60 62 72 74 120 122	188430419898
STPT(10)	1348730006073370097	0 2 60 62 72 74 84 86 144 146	753779750976
SPT(16)	1348730080903856897	0 24 50 56 110 126 176 212 234 270 320 336 390 396 422 446	828610237776
SPT(16)	1348730491932219491	0 6 8 18 20 42 72 78 140 146 176 198 200 210 212 218	1239638600370