Prime p₀= 578431666838961763 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 16 30 14 4 20 16 14 16 20 4 14 30 16 (?)
a_n: 0 16 46 60 64 84 100 114 130 150 154 168 198 214
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 214
Found by: schoussi
db: batch=71, k=14, 16 30 14 4 20 16 14

SPT(14)	578431515955829017	0 66 100 130 180 192 196 210 214 226 276 306 340 406	-150883132746
SPT(14)	578431546588146313	0 6 18 46 54 58 88 126 156 160 168 196 208 214	-120250815450
SPT(16)	578431568404474907	0 2 20 62 66 80 96 126 176 206 222 236 240 282 300 302	-98434486856
SPT(14)	578431569547797811	0 10 28 46 52 108 112 156 160 216 222 240 258 268	-97291163952
SPT(14)	578431605094689167	0 12 24 30 42 50 72 134 156 164 176 182 194 206	-61744272596
TPT(12)	578431652783158121	0 2 36 38 78 80 180 182 330 332 468 470	-14055803642
TPT(12)	578431669179060647	0 2 30 32 54 56 60 62 144 146 150 152	2340098884
TPT(12)	578431685410384499	0 2 150 152 192 194 198 200 210 212 222 224	18571422736
SPT(16)	578431689297378691	0 40 48 82 108 120 126 150 178 202 208 220 246 280 288 328	22458416928
SPT(14)	578431709364111389	0 12 24 72 108 140 164 198 222 254 290 338 350 362	42525149626
TPT(12)	578431713478980971	0 2 120 122 156 158 198 200 240 242 288 290	46640019208