Prime p₀= 1360718266123411829 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 58 2 70 2 76 2 70 2 58 2 (?)
a_n: 0 2 60 62 132 134 210 212 282 284 342 344
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: 344
Found by: HenkM
db: batch=77, k=12, 2 58 2 70 2 76

STPT(10)	1360716381930282329	0 2 30 32 120 122 210 212 240 242	-1884193129500
SPT(13)	1360716629984945503	0 48 54 138 144 168 174 180 204 210 294 300 348	-1636138466326
SPT(16)	1360716868937009677	0 34 90 136 150 174 196 210 286 300 322 346 360 406 462 496	-1397186402152
SPT(16)	1360717430661100307	0 24 50 80 110 120 186 200 210 224 290 300 330 360 386 410	-835462311522
SPT(18)	1360717597282463989	0 10 84 108 118 162 228 238 262 270 294 304 370 414 424 448 522 532	-668840947840
STPT(10)	1360718059487603807	0 2 12 14 42 44 72 74 84 86	-206635808022
SPT(16)	1360718354388414227	0 24 50 92 96 126 150 174 182 206 230 260 264 306 332 356	88265002398
SPT(16)	1360718472643457189	0 30 132 210 224 248 260 294 338 372 384 408 422 500 602 632	206520045360
STPT(10)	1360718608221640649	0 2 42 44 60 62 78 80 120 122	342098228820
SPT(16)	1360718708650170523	0 16 40 66 70 76 78 106 210 238 240 246 250 276 300 316	442526758694
STPT(10)	1360718779360645877	0 2 30 32 42 44 54 56 84 86	513237234048