Prime p₀= 2812579210674854741 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 30 2 60 4 24 6 2 22 2 6 24 4 60 2 30 (?)
a_n: 0 30 32 92 96 120 126 128 150 152 158 182 186 246 248 278
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: [SG]ATA-Rolf
db: batch=82, k=16, 30 2 60 4 24 6 2 22

SPT(16)	2812578203973170371	0 12 16 22 46 70 78 82 186 190 198 222 246 252 256 268	-1006701684370
STPT(10)	2812578357867378941	0 2 36 38 78 80 120 122 156 158	-852807475800
SPT(16)	2812578467569314751	0 16 42 46 52 60 66 90 112 136 142 150 156 160 186 202	-743105539990
STPT(10)	2812578841481741531	0 2 108 110 138 140 168 170 276 278	-369193113210
SPT(22)	2812579085744590493	0 14 30 36 50 56 74 140 144 146 170 174 198 200 204 270 288 294 308 314 330 344	-124930264248
SPT(16)	2812579115880931333	0 4 6 24 34 58 70 88 96 114 126 150 160 178 180 184	-94793923408
SPT(16)	2812579265058842407	0 30 76 90 112 120 156 160 186 190 226 234 256 270 316 346	54383987666
STPT(10)	2812579680643221017	0 2 60 62 72 74 84 86 144 146	469968366276
SPT(18)	2812579728382537661	0 8 18 38 56 62 78 80 116 132 168 170 186 192 210 230 240 248	517707682920
TPT(14)	2812580068748733431	0 2 96 98 108 110 150 152 198 200 210 212 276 278	858073878690
SPT(16)	2812580069389152473	0 24 66 80 90 110 140 144 230 234 264 284 294 308 350 374	858714297732