Prime p₀= 2051796493938637739 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 58 2 64 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 138 140 198 200 210 212
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: 212
Found by: Orange Kid
db: batch=80, k=12, 2 10 2 58 2 64

SPT(16)	2051795579051301467	0 24 30 44 54 62 80 96 140 156 174 182 192 206 212 236	-914887336272
STPT(10)	2051795679168978437	0 2 90 92 102 104 114 116 204 206	-814769659302
SPT(16)	2051795708361024581	0 8 26 62 90 128 140 152 156 168 180 218 246 282 300 308	-785577613158
STPT(10)	2051795758398757211	0 2 36 38 78 80 120 122 156 158	-735539880528
SPT(16)	2051796119979871757	0 44 90 114 150 164 170 200 216 246 252 266 302 326 372 416	-373958765982
SPT(16)	2051796152605863637	0 10 46 54 166 190 210 256 270 316 336 360 472 480 516 526	-341332774102
STPT(10)	2051796506282060507	0 2 30 32 72 74 114 116 144 146	12343422768
STPT(12)	2051796701695249547	0 2 24 26 84 86 150 152 210 212 234 236	207756611808
STPT(10)	2051797154692031189	0 2 18 20 60 62 102 104 120 122	660753393450
SPT(16)	2051797542433096069	0 30 108 150 198 210 222 234 238 250 262 274 322 364 442 472	1048494458330
STPT(10)	2051798142735087347	0 2 30 32 42 44 54 56 84 86	1648796449608