Prime p₀= 1235044115885005997 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 16 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 60 62 72 74 102 104
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: 104
Found by: MarkRBright
db: batch=77, k=12, 2 28 2 10 2 16

SPT(16)	1235043088420325519	0 14 32 60 80 102 110 122 132 144 152 174 194 222 240 254	-1027464680478
SPT(16)	1235043218487021743	0 60 66 90 104 108 116 128 186 198 206 210 224 248 254 314	-897397984254
SPT(16)	1235043222765371471	0 2 8 20 30 36 90 96 212 218 272 278 288 300 306 308	-893119634526
STPT(10)	1235043684422193167	0 2 30 32 42 44 54 56 84 86	-431462812830
TPT(14)	1235043684422193167	0 2 30 32 42 44 54 56 84 86 132 134 144 146	-431462812830
SPT(16)	1235044111722560257	0 24 30 52 66 166 196 214 222 240 270 370 384 406 412 436	-4162445740
STPT(10)	1235044142039938091	0 2 36 38 78 80 120 122 156 158	26154932094
STPT(10)	1235044155124663337	0 2 24 26 42 44 60 62 84 86	39239657340
SPT(20)	1235044251504005897	0 96 132 174 180 236 240 296 314 336 350 372 390 446 450 506 512 554 590 686	135618999900
STPT(12)	1235044505374070717	0 2 42 44 60 62 84 86 102 104 144 146	389489064720
STPT(10)	1235044638788555237	0 2 30 32 42 44 54 56 84 86	522903549240