Prime p₀= 1518423779898681041 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 50 10 8 18 10 20 22 2 22 20 10 18 8 10 50 (?)
a_n: 0 50 60 68 86 96 116 138 140 162 182 192 210 218 228 278
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 278
Found by: TheKillerChicken
db: batch=78, k=16, 50 10 8 18 10 20 22 2

SPT(16)	1518422222316636941	0 42 62 98 108 122 140 168 212 240 258 272 282 318 338 380	-1557582044100
SPT(16)	1518422323468438627	0 12 16 22 30 42 46 54 172 180 184 196 204 210 214 226	-1456430242414
SPT(16)	1518422719755731819	0 24 54 78 98 122 134 168 194 228 240 264 284 308 338 362	-1060142949222
SPT(16)	1518422994179656751	0 36 50 138 146 236 240 278 330 368 372 462 470 558 572 608	-785719024290
SPT(16)	1518423026303914879	0 12 30 40 78 88 108 120 130 142 162 172 210 220 238 250	-753594766162
STPT(10)	1518423509978270801	0 2 6 8 48 50 90 92 96 98	-269920410240
SPT(16)	1518424139573313853	0 24 30 34 58 84 118 124 144 150 184 210 234 238 244 268	359674632812
STPT(12)	1518424369719594497	0 2 12 14 24 26 30 32 42 44 54 56	589820913456
STPT(10)	1518424424910906839	0 2 18 20 30 32 42 44 60 62	645012225798
TPT(14)	1518424652309938559	0 2 30 32 90 92 102 104 132 134 222 224 258 260	872411257518
STPT(10)	1518425064414713051	0 2 36 38 78 80 120 122 156 158	1284516032010