Prime p₀= 1910100019719737927 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 40 2 34 2 40 2 10 2 (?)
a_n: 0 2 12 14 54 56 90 92 132 134 144 146
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: 146
Found by: Landjunge
db: batch=80, k=12, 2 10 2 40 2 34

SPT(16)	1910097853970306603	0 18 38 54 56 66 80 98 126 144 158 168 170 186 206 224	-2165749431324
SPT(16)	1910098682030205539	0 20 54 68 98 104 108 120 122 134 138 144 174 188 222 242	-1337689532388
STPT(10)	1910098689614953889	0 2 18 20 30 32 42 44 60 62	-1330104784038
STPT(10)	1910098996785061427	0 2 42 44 72 74 102 104 144 146	-1022934676500
SPT(16)	1910099380910502461	0 18 50 78 80 110 140 150 170 180 210 240 242 270 302 320	-638809235466
SPT(16)	1910099644414305677	0 26 36 42 72 90 110 236 246 372 392 410 440 446 456 482	-375305432250
SPT(16)	1910100225716735309	0 48 54 74 152 182 192 230 312 350 360 390 468 488 494 542	205996997382
TPT(14)	1910100333174552581	0 2 30 32 96 98 126 128 150 152 168 170 210 212	313454814654
TPT(14)	1910100522235618439	0 2 72 74 270 272 312 314 390 392 408 410 570 572	502515880512
SPT(16)	1910101127727930979	0 64 78 90 108 112 114 118 234 238 240 244 262 274 288 352	1108008193052
STPT(10)	1910101628564831087	0 2 12 14 42 44 72 74 84 86	1608845093160