Prime p₀= 2069663636180133737 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 8 10 26 30 24 16 26 16 24 30 26 10 8 6 (?)
a_n: 0 6 14 24 50 80 104 120 146 162 186 216 242 252 260 266
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: 266
Found by: Cruncher Pete
db: batch=80, k=16, 6 8 10 26 30 24 16 26

SPT(16)	2069663105667079051	0 52 72 108 112 132 148 150 208 210 226 246 250 286 306 358	-530513054686
SPT(18)	2069663167040962541	0 20 66 68 86 116 138 156 168 170 182 200 222 252 270 272 318 338	-469139171196
TPT(14)	2069663229665211149	0 2 30 32 72 74 90 92 132 134 138 140 180 182	-406514922588
SPT(16)	2069663252640981841	0 18 72 82 88 90 100 138 160 198 208 210 216 226 280 298	-383539151896
TPT(14)	2069663272669284749	0 2 18 20 42 44 78 80 120 122 132 134 210 212	-363510848988
STPT(10)	2069663477445528659	0 2 30 32 60 62 90 92 120 122	-158734605078
SPT(16)	2069663676113150053	0 58 60 70 154 180 184 214 234 264 268 294 378 388 390 448	39933016316
STPT(10)	2069663766020663357	0 2 30 32 42 44 54 56 84 86	129840529620
STPT(10)	2069663845792095701	0 2 36 38 78 80 120 122 156 158	209611961964
STPT(10)	2069664264982636937	0 2 24 26 42 44 60 62 84 86	628802503200
SPT(16)	2069664460718841071	0 18 38 66 86 108 126 152 156 182 200 222 242 270 290 308	824538707334