Prime p₀= 2139312841078249997 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: [SG-2W]Kurzer
db: batch=80, k=12, 2 10 2 10 2 4

STPT(10)	2139312058288162991	0 2 30 32 78 80 126 128 156 158	-782790087006
SPT(16)	2139312169511805887	0 14 74 92 114 132 146 170 186 210 224 242 264 282 342 356	-671566444110
TPT(14)	2139312502630785929	0 2 30 32 42 44 72 74 108 110 168 170 228 230	-338447464068
STPT(10)	2139312551447578019	0 2 42 44 60 62 78 80 120 122	-289630671978
SPT(16)	2139312576228763433	0 24 38 54 56 68 80 86 138 144 156 168 170 186 200 224	-264849486564
TPT(14)	2139312640049010689	0 2 18 20 30 32 72 74 132 134 168 170 222 224	-201029239308
SPT(16)	2139312880266734723	0 84 158 188 224 234 246 350 504 608 620 630 666 696 770 854	39188484726
SPT(16)	2139312883378836271	0 12 30 40 100 108 168 220 240 292 352 360 420 430 448 460	42300586274
STPT(10)	2139313215013402457	0 2 30 32 42 44 54 56 84 86	373935152460
SPT(16)	2139313413537248539	0 12 22 52 54 64 108 120 142 154 198 208 210 240 250 262	572458998542
SPT(16)	2139313742749500553	0 10 34 48 64 90 118 120 208 210 238 264 280 294 318 328	901671250556