Prime p₀= 2727857373957835937 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 22 2 4 2 202 2 4 2 22 2 (?)
a_n: 0 2 24 26 30 32 234 236 240 242 264 266
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: 266
Found by: JayPi
db: batch=82, k=12, 2 22 2 4 2 202

STPT(10)	2727855311133323279	0 2 18 20 30 32 42 44 60 62	-2062824512658
SPT(16)	2727855816878574601	0 42 46 70 76 88 90 112 126 148 150 162 168 192 196 238	-1557079261336
STPT(12)	2727856843210121267	0 2 30 32 72 74 192 194 234 236 264 266	-530747714670
STPT(10)	2727857032273901621	0 2 30 32 60 62 90 92 120 122	-341683934316
TPT(14)	2727857040391152779	0 2 30 32 48 50 168 170 180 182 258 260 270 272	-333566683158
SPT(16)	2727857265709928507	0 2 24 36 44 56 102 110 126 134 180 192 200 212 234 236	-108247907430
SPT(16)	2727857488185281849	0 14 48 50 60 90 92 108 134 150 152 182 192 194 228 242	114227445912
STPT(10)	2727857527050333659	0 2 42 44 60 62 78 80 120 122	153092497722
SPT(16)	2727857899390379257	0 22 42 60 84 126 132 144 262 274 280 322 346 364 384 406	525432543320
SPT(16)	2727857904059527669	0 22 42 48 58 132 138 162 238 262 268 342 352 358 378 400	530101691732
SPT(16)	2727858152835410501	0 48 86 90 96 140 158 180 188 210 228 272 278 282 320 368	778877574564