Prime p₀= 558907186323429971 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 64 2 40 2 40 2 34 2 22 2 (?)
a_n: 0 2 66 68 108 110 150 152 186 188 210 212
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: nenym
db: batch=71, k=12, 64 40 40 34 22

SPT(14)	558907079821210213	0 10 88 90 108 120 178 186 244 256 274 276 354 364	-106502219758
SPT(14)	558907088256339811	0 6 18 30 58 60 108 178 226 228 256 268 280 286	-98067090160
SPT(14)	558907163872252589	0 14 18 32 38 42 60 122 140 144 150 164 168 182	-22451177382
TPT(12)	558907167781714289	0 2 18 20 72 74 150 152 198 200 222 224	-18541715682
SPT(14)	558907173053471461	0 16 18 22 36 66 70 108 112 142 156 160 162 178	-13269958510
SPT(14)	558907179421627711	0 10 58 72 120 142 148 252 258 280 328 342 390 400	-6901802260
TPT(12)	558907190528136299	0 2 78 80 90 92 108 110 132 134 150 152	4204706328
SPT(14)	558907190688104119	0 54 64 72 120 130 154 198 222 232 280 288 298 352	4364674148
SPT(14)	558907208828844413	0 44 48 74 150 180 186 278 284 314 390 416 420 464	22505414442
SPT(14)	558907217243785999	0 52 54 64 70 120 130 162 172 222 228 238 240 292	30920356028
SPT(16)	558907222196236169	0 44 68 92 110 128 182 200 282 300 354 372 390 414 438 482	35872806198