Prime p₀= 1074618849334664479 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 20 16 8 22 18 36 14 36 18 22 8 16 20 4 (?)
a_n: 0 4 24 40 48 70 88 124 138 174 192 214 222 238 258 262
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: 262
Found by: rlacr
db: batch=76, k=16, 4 20 16 8 22 18 36 14

SPT(16)	1074617968332053863	0 40 76 148 210 256 286 288 298 300 330 376 438 510 546 586	-881002610616
SPT(16)	1074618067392088081	0 42 46 58 70 76 78 88 90 100 102 108 120 132 136 178	-781942576398
SPT(16)	1074618097523934013	0 10 58 64 78 84 100 114 190 204 220 226 240 246 294 304	-751810730466
SPT(16)	1074618133549256557	0 10 30 60 66 72 136 160 186 210 274 280 286 316 336 346	-715785407922
STPT(10)	1074618505892651771	0 2 6 8 18 20 30 32 36 38	-343442012708
SPT(16)	1074618748756062437	0 20 30 54 74 140 174 180 230 236 270 336 356 380 390 410	-100578602042
SPT(16)	1074618998894881147	0 42 60 64 114 130 180 186 190 196 246 262 312 316 334 376	149560216668
STPT(10)	1074619478388455957	0 2 42 44 72 74 102 104 144 146	629053791478
STPT(10)	1074619876102996577	0 2 54 56 72 74 90 92 144 146	1026768332098
SPT(16)	1074620259549804593	0 6 36 48 66 126 140 150 194 204 218 278 296 308 338 344	1410215140114
STPT(10)	1074621061825328999	0 2 42 44 60 62 78 80 120 122	2212490664520