Prime p₀= 2743412426484565679 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 88 2 4 2 88 2 40 2 (?)
a_n: 0 2 42 44 132 134 138 140 228 230 270 272
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: 272
Found by: JayPi
db: batch=82, k=12, 2 40 2 88 2 4

STPT(10)	2743410366504910967	0 2 42 44 72 74 102 104 144 146	-2059979654712
STPT(10)	2743410860610344777	0 2 30 32 72 74 114 116 144 146	-1565874220902
SPT(16)	2743411253253219179	0 2 60 68 72 134 138 170 192 224 228 290 294 302 360 362	-1173231346500
SPT(16)	2743411308749211421	0 12 70 96 100 102 118 126 142 150 166 168 172 198 256 268	-1117735354258
SPT(16)	2743411580683296961	0 48 72 76 78 100 102 120 208 226 228 250 252 256 280 328	-845801268718
STPT(10)	2743412001023064377	0 2 30 32 42 44 54 56 84 86	-425461501302
STPT(10)	2743412831353640651	0 2 6 8 18 20 30 32 36 38	404869074972
SPT(16)	2743413355424469683	0 44 104 156 228 258 296 308 456 468 506 536 608 660 720 764	928939904004
STPT(10)	2743414140744225407	0 2 30 32 42 44 54 56 84 86	1714259659728
STPT(10)	2743414953490617947	0 2 30 32 72 74 114 116 144 146	2527006052268
SPT(16)	2743414979354593013	0 44 54 86 108 120 126 138 236 248 254 266 288 320 330 374	2552870027334