Prime p₀= 4907786681658737 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 58 2 22 2 16 2 106 2 (?)
a_n: 0 2 30 32 90 92 114 116 132 134 240 242
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: 242
Found by: 4ys
db: batch=61, k=12, 28 58 22 16 106

SPT(14)	4907771492879131	0 10 28 76 108 112 126 142 156 160 192 240 258 268	-15188779606
TPT(12)	4907772585597809	0 2 12 14 90 92 222 224 228 230 252 254	-14096060928
SPT(14)	4907777101107337	0 22 30 36 52 94 114 142 162 204 220 226 234 256	-9580551400
SPT(14)	4907778514269887	0 6 12 50 62 102 120 242 260 300 312 350 356 362	-8167388850
SPT(14)	4907782764620059	0 34 78 102 112 130 150 172 192 210 220 244 288 322	-3917038678
TPT(12)	4907786393089871	0 2 30 32 90 92 96 98 156 158 198 200	-288568866
SPT(14)	4907792175012647	0 26 72 84 104 114 126 140 152 162 182 194 240 266	5493353910
SPT(14)	4907794050644833	0 10 144 154 168 196 256 258 318 346 360 370 504 514	7368986096
SPT(14)	4907796938718659	0 12 24 32 42 104 110 144 150 212 222 230 242 254	10257059922
SPT(14)	4907797065615839	0 44 50 80 84 92 98 114 120 128 132 162 168 212	10383957102
SPT(14)	4907798141649041	0 18 72 80 122 150 162 248 260 288 330 338 392 410	11459990304