Prime p₀= 3006524703387928381 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 22 30 18 2 40 50 16 62 16 50 40 2 18 30 22 (?)
a_n: 0 22 52 70 72 112 162 178 240 256 306 346 348 366 396 418
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: 418
Found by: [SG]ATA-Rolf
db: batch=82, k=16, 22 30 18 2 40 50 16 62

SPT(16)	3006524305992774403	0 4 40 46 88 96 100 118 126 144 148 156 198 204 240 244	-397395153978
STPT(10)	3006524455484774069	0 2 18 20 30 32 42 44 60 62	-247903154312
SPT(16)	3006524552215363481	0 32 38 42 66 92 98 122 156 180 186 212 236 240 246 278	-151172564900
STPT(10)	3006524588196101207	0 2 42 44 72 74 102 104 144 146	-115191827174
STPT(10)	3006524612013408257	0 2 30 32 72 74 114 116 144 146	-91374520124
STPT(10)	3006524668208180759	0 2 48 50 90 92 132 134 180 182	-35179747622
SPT(16)	3006524870218910959	0 58 64 78 130 132 168 174 268 274 310 312 364 378 384 442	166830982578
STPT(10)	3006525016218507149	0 2 42 44 60 62 78 80 120 122	312830578768
SPT(16)	3006525098175689023	0 6 48 76 84 94 136 160 174 198 240 250 258 286 328 334	394787760642
SPT(16)	3006525301715385277	0 10 34 64 70 76 90 114 196 220 234 240 246 276 300 310	598327456896
SPT(16)	3006526329722675537	0 32 96 120 140 144 150 192 254 296 302 306 326 350 414 446	1626334747156