Prime p₀= 756491805563583797 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: marsinph
db: batch=73, k=12, 2 10 2 10 2 4

SPT(16)	756489848417305201	0 12 70 78 96 112 136 160 168 192 216 232 250 258 316 328	-1957146278596
SPT(16)	756490110951722779	0 4 78 84 88 108 112 132 190 210 214 234 238 244 318 322	-1694611861018
SPT(16)	756490283476333619	0 12 38 50 72 80 120 122 168 170 210 218 240 252 278 290	-1522087250178
SPT(16)	756490618603747627	0 4 42 64 94 106 120 150 166 196 210 222 252 274 312 316	-1186959836170
STPT(10)	756490895038687811	0 2 36 38 78 80 120 122 156 158	-910524895986
SPT(16)	756491489719815433	0 16 70 78 84 94 114 136 168 190 210 220 226 234 288 304	-315843768364
STPT(10)	756491828515763867	0 2 90 92 102 104 114 116 204 206	22952180070
STPT(10)	756491915012058227	0 2 30 32 72 74 114 116 144 146	109448474430
STPT(10)	756491915501385821	0 2 6 8 18 20 30 32 36 38	109937802024
SPT(16)	756491941440841553	0 26 54 68 84 90 126 146 168 188 224 230 246 260 288 314	135877257756
STPT(10)	756492046542032807	0 2 30 32 42 44 54 56 84 86	240978449010