Prime p₀= 1236523069501521869 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 28 2 64 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 138 140 168 170 210 212
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: vinn@[CNT]
db: batch=77, k=12, 2 40 2 28 2 64

SPT(16)	1236521491848761351	0 38 48 80 90 140 162 182 318 338 360 410 420 452 462 500	-1577652760518
SPT(16)	1236522002335681979	0 60 74 102 128 152 164 170 222 228 240 264 290 318 332 392	-1067165839890
SPT(16)	1236522362789465107	0 12 24 82 100 132 154 160 174 180 202 234 252 310 322 334	-706712056762
SPT(18)	1236522866816906987	0 2 80 84 92 104 114 126 134 162 170 182 192 204 212 216 294 296	-202684614882
STPT(10)	1236522977657072267	0 2 30 32 42 44 54 56 84 86	-91844449602
STPT(10)	1236522981042018077	0 2 42 44 72 74 102 104 144 146	-88459503792
STPT(10)	1236523276575894401	0 2 6 8 48 50 90 92 96 98	207074372532
SPT(16)	1236523286313269191	0 18 28 42 58 102 138 150 160 172 208 252 268 282 292 310	216811747322
TPT(14)	1236523538410615907	0 2 12 14 72 74 84 86 90 92 114 116 180 182	468909094038
SPT(16)	1236523587115476637	0 6 42 82 106 154 214 216 250 252 312 360 384 424 460 466	517613954768
SPT(16)	1236523768791399199	0 72 82 108 114 118 130 132 220 222 234 238 244 270 280 352	699289877330