Prime p₀= 1364900462173043429 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 82 2 64 2 82 2 16 2 (?)
a_n: 0 2 18 20 102 104 168 170 252 254 270 272
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: Skivelitis2
db: batch=77, k=12, 2 16 2 82 2 64

SPT(18)	1364899598857544377	0 24 82 106 136 154 162 192 336 370 514 544 552 570 600 624 682 706	-863315499052
SPT(16)	1364899722240462379	0 24 60 90 118 142 192 202 210 220 270 294 322 352 388 412	-739932581050
STPT(10)	1364899862187943127	0 2 54 56 72 74 90 92 144 146	-599985100302
STPT(10)	1364900076532681259	0 2 18 20 30 32 42 44 60 62	-385640362170
STPT(10)	1364900176782616289	0 2 12 14 30 32 48 50 60 62	-285390427140
SPT(16)	1364900438990096179	0 10 42 52 70 108 118 142 150 174 184 222 240 250 282 292	-23182947250
STPT(10)	1364900465362244441	0 2 36 38 78 80 120 122 156 158	3189201012
SPT(16)	1364900752713790637	0 14 42 60 102 104 126 170 186 230 252 254 296 314 342 356	290540747208
SPT(16)	1364900877209333129	0 12 14 30 32 50 54 72 182 200 204 222 224 240 242 254	415036289700
STPT(10)	1364901176256302561	0 2 30 32 60 62 90 92 120 122	714083259132
STPT(10)	1364901201477538391	0 2 6 8 18 20 30 32 36 38	739304494962