Prime p₀= 2036484558300432731 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 34 2 88 2 112 2 88 2 34 2 (?)
a_n: 0 2 36 38 126 128 240 242 330 332 366 368
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: 368
Found by: vaughan
db: batch=80, k=12, 2 34 2 88 2 112

TPT(14)	2036483161175137391	0 2 6 8 36 38 66 68 96 98 138 140 246 248	-1397125295340
TPT(14)	2036483363856013409	0 2 42 44 108 110 138 140 150 152 210 212 348 350	-1194444419322
SPT(16)	2036483492264465089	0 94 132 172 184 250 270 300 304 334 354 420 432 472 510 604	-1066035967642
SPT(16)	2036483550732802261	0 10 12 18 30 48 102 112 156 166 220 238 250 256 258 268	-1007567630470
TPT(14)	2036483903982305579	0 2 18 20 42 44 90 92 138 140 198 200 282 284	-654318127152
STPT(10)	2036484202635771527	0 2 60 62 72 74 84 86 144 146	-355664661204
STPT(10)	2036484842178724547	0 2 30 32 42 44 54 56 84 86	283878291816
SPT(16)	2036485306834816073	0 8 18 80 90 140 144 158 210 224 228 278 288 350 360 368	748534383342
STPT(10)	2036485355190077327	0 2 30 32 42 44 54 56 84 86	796889644596
SPT(16)	2036485587522378077	0 66 74 116 144 176 200 254 276 330 354 386 414 456 464 530	1029221945346
SPT(16)	2036485669043725709	0 18 38 42 54 108 138 140 162 164 194 248 260 264 284 302	1110743292978