Prime p₀= 2253514733084677847 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 10 2 4 2 10 2 10 2 (?)
a_n: 0 2 12 14 24 26 30 32 42 44 54 56
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: 56
Found by: samuraiii
db: batch=81, k=12, 2 10 2 10 2 4

SPT(16)	2253512659655232707	0 50 92 96 114 116 134 156 200 222 240 242 260 264 306 356	-2073429445140
STPT(10)	2253512722923704897	0 2 54 56 72 74 90 92 144 146	-2010160972950
TPT(14)	2253514204162535849	0 2 42 44 78 80 150 152 162 164 168 170 210 212	-528922141998
TPT(14)	2253514217831495819	0 2 132 134 168 170 198 200 228 230 252 254 300 302	-515253182028
STPT(10)	2253514427432944769	0 2 42 44 60 62 78 80 120 122	-305651733078
STPT(10)	2253514723943081867	0 2 30 32 72 74 114 116 144 146	-9141595980
SPT(16)	2253514982672837203	0 34 46 84 90 118 124 154 180 210 216 244 250 288 300 334	249588159356
SPT(16)	2253515032198526413	0 4 28 36 64 126 144 150 214 220 238 300 328 336 360 364	299113848566
SPT(16)	2253515032681455239	0 12 54 72 90 92 104 110 114 120 132 134 152 170 212 224	299596777392
STPT(10)	2253515069435864987	0 2 30 32 42 44 54 56 84 86	336351187140
STPT(10)	2253515627017602947	0 2 24 26 42 44 60 62 84 86	893932925100