Prime p₀= 2136015487143565003 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 28 12 14 6 4 54 42 14 42 54 4 6 14 12 28 (?)
a_n: 0 28 40 54 60 64 118 160 174 216 270 274 280 294 306 334
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: 334
Found by: Landjunge
db: batch=80, k=16, 28 12 14 6 4 54 42 14

SPT(16)	2136014234470339787	0 2 6 12 92 116 152 156 200 204 240 264 344 350 354 356	-1252673225216
SPT(16)	2136014285384066233	0 6 46 66 90 108 124 126 178 180 196 214 238 258 298 304	-1201759498770
STPT(10)	2136014565667444247	0 2 30 32 60 62 90 92 120 122	-921476120756
SPT(16)	2136014626534301999	0 54 78 80 98 132 134 140 162 168 170 204 222 224 248 302	-860609263004
SPT(16)	2136015333605185919	0 12 14 24 32 38 90 144 188 242 294 300 308 318 320 332	-153538379084
STPT(10)	2136015433149815561	0 2 36 38 78 80 120 122 156 158	-53993749442
STPT(10)	2136015697505136047	0 2 12 14 42 44 72 74 84 86	210361571044
SPT(13)	2136015738063963719	0 18 60 78 138 144 174 204 210 270 288 330 348	250920398716
STPT(10)	2136015894412520147	0 2 30 32 42 44 54 56 84 86	407268955144
TPT(14)	2136016098793553237	0 2 30 32 72 74 162 164 174 176 204 206 240 242	611649988234
SPT(13)	2136016201011538753	0 24 66 96 144 174 180 186 216 264 294 336 360	713867973750