Prime p₀= 2353851787073819723 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 8 52 44 30 18 6 46 6 18 30 44 52 8 6 (?)
a_n: 0 6 14 66 110 140 158 164 210 216 234 264 308 360 368 374
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: 374
Found by: [AF] Kalianthys
db: batch=81, k=16, 6 8 52 44 30 18 6 46

SPT(16)	2353850965236504551	0 6 26 30 32 48 98 108 230 240 290 306 308 312 332 338	-821837315172
STPT(10)	2353851195949257857	0 2 30 32 72 74 114 116 144 146	-591124561866
SPT(16)	2353851241674430219	0 88 112 150 222 288 304 324 388 408 424 490 562 600 624 712	-545399389504
SPT(16)	2353851242337357943	0 46 90 118 120 130 148 186 190 228 246 256 258 286 330 376	-544736461780
SPT(16)	2353851719042235311	0 18 26 50 96 102 110 132 146 168 176 182 228 252 260 278	-68031584412
SPT(16)	2353851783563709791	0 50 60 90 96 108 116 152 216 252 260 272 278 308 318 368	-3510109932
STPT(10)	2353852076761431611	0 2 30 32 78 80 126 128 156 158	289687611888
SPT(16)	2353852158772764691	0 48 60 82 88 100 126 138 160 172 198 210 216 238 250 298	371698944968
STPT(10)	2353852345694639729	0 2 42 44 60 62 78 80 120 122	558620820006
STPT(10)	2353853026707446981	0 2 66 68 138 140 210 212 276 278	1239633627258
TPT(14)	2353853087782959881	0 2 18 20 96 98 126 128 228 230 240 242 306 308	1300709140158