Prime p₀= 2068542579403660201 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 18 28 24 6 14 42 36 22 36 42 14 6 24 28 18 (?)
a_n: 0 18 46 70 76 90 132 168 190 226 268 282 288 312 340 358
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: 358
Found by: Cruncher Pete
db: batch=80, k=16, 18 28 24 6 14 42 36 22

SPT(16)	2068541872185939727	0 12 16 40 66 106 132 150 166 184 210 250 276 300 304 316	-707217720474
SPT(16)	2068542152137556803	0 24 58 156 180 214 240 250 324 334 360 394 418 516 550 574	-427266103398
SPT(16)	2068542320521034977	0 72 120 160 166 180 196 220 222 246 262 276 282 322 370 442	-258882625224
SPT(16)	2068542385534320001	0 36 40 60 70 82 88 102 106 120 126 138 148 168 172 208	-193869340200
SPT(16)	2068542385989939641	0 6 38 80 90 108 110 122 126 138 140 158 168 210 242 248	-193413720560
STPT(10)	2068542494906666411	0 2 6 8 48 50 90 92 96 98	-84496993790
STPT(10)	2068542946673253101	0 2 6 8 18 20 30 32 36 38	367269592900
STPT(10)	2068543338715410881	0 2 36 38 78 80 120 122 156 158	759311750680
SPT(16)	2068543582873040167	0 6 16 60 82 90 112 114 142 144 166 174 196 240 250 256	1003469379966
STPT(10)	2068543679643304607	0 2 42 44 72 74 102 104 144 146	1100239644406
SPT(16)	2068543742838017741	0 18 20 30 36 48 98 116 132 150 200 212 218 228 230 248	1163434357540