Prime p₀= 2039207658306080749 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 70 14 30 66 28 116 4 2 4 116 28 66 30 14 70 (?)
a_n: 0 70 84 114 180 208 324 328 330 334 450 478 544 574 588 658
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: 658
Found by: Ben
db: batch=80, k=16, 70 14 30 66 28 116 4 2

STPT(10)	2039206664147801969	0 2 18 20 30 32 42 44 60 62	-994158278780
STPT(10)	2039206814607968021	0 2 30 32 78 80 126 128 156 158	-843698112728
SPT(16)	2039207056094728501	0 28 42 88 100 102 126 130 168 172 196 198 210 256 270 298	-602211352248
SPT(18)	2039207224073388877	0 34 36 70 82 100 102 106 132 154 180 184 186 204 216 250 252 286	-434232691872
SPT(16)	2039207266749878473	0 6 40 66 70 78 84 120 154 190 196 204 208 234 268 274	-391556202276
STPT(10)	2039207473244971649	0 2 12 14 90 92 168 170 180 182	-185061109100
STPT(10)	2039207755930501769	0 2 18 20 30 32 42 44 60 62	97624421020
STPT(10)	2039208116804768981	0 2 30 32 78 80 126 128 156 158	458498688232
STPT(10)	2039208149223371627	0 2 54 56 72 74 90 92 144 146	490917290878
SPT(16)	2039208389439540107	0 12 90 96 132 144 152 162 164 174 182 194 230 236 314 326	731133459358
STPT(10)	2039208556764226877	0 2 30 32 42 44 54 56 84 86	898458146128