Prime p₀= 2731976966714811029 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 46 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 90 92 102 104 132 134
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: JayPi
db: batch=82, k=12, 2 28 2 10 2 46

SPT(18)	2731975808083623599	0 14 18 54 78 84 98 110 120 158 168 180 194 200 224 260 264 278	-1158631187430
SPT(16)	2731975997929291031	0 20 36 50 62 72 122 132 200 210 260 270 282 296 312 332	-968785519998
SPT(16)	2731976423573554819	0 12 88 100 112 132 142 162 208 228 238 258 270 282 358 370	-543141256210
STPT(10)	2731976542993402667	0 2 30 32 42 44 54 56 84 86	-423721408362
SPT(16)	2731976794403739811	0 48 52 66 88 108 112 118 180 186 190 210 232 246 250 298	-172311071218
SPT(18)	2731976965562794091	0 36 50 72 128 216 218 240 252 296 308 330 332 420 476 498 512 548	-1152016938
SPT(16)	2731977430523947429	0 10 22 24 40 42 54 70 132 148 160 162 178 180 192 202	463809136400
SPT(16)	2731977875921748319	0 4 10 24 94 150 154 162 202 210 214 270 340 354 360 364	909206937290
STPT(10)	2731978406048057207	0 2 30 32 42 44 54 56 84 86	1439333246178
SPT(16)	2731978923483519001	0 22 42 52 66 88 102 132 166 196 210 232 246 256 276 298	1956768707972
STPT(10)	2731979477846138291	0 2 36 38 78 80 120 122 156 158	2511131327262