Prime p₀= 2856858945553134001 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 16 6 14 4 12 14 4 14 12 4 14 6 16 6 (?)
a_n: 0 6 22 28 42 46 58 72 76 90 102 106 120 126 142 148
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: 148
Found by: Landjunge
db: batch=82, k=16, 6 16 6 14 4 12 14 4

TPT(14)	2856857802060963719	0 2 12 14 30 32 42 44 72 74 132 134 198 200	-1143492170282
STPT(10)	2856857839836689189	0 2 48 50 90 92 132 134 180 182	-1105716444812
SPT(16)	2856858093772503901	0 10 22 36 40 120 136 160 168 192 208 288 292 306 318 328	-851780630100
SPT(16)	2856858289692566039	0 14 62 108 128 140 168 210 212 254 282 294 314 360 408 422	-655860567962
SPT(16)	2856858301888465099	0 58 60 70 84 124 142 150 172 180 198 238 252 262 264 322	-643664668902
SPT(16)	2856858790018018811	0 36 50 62 68 78 102 156 242 296 320 330 336 348 362 398	-155535115190
STPT(10)	2856859529202395417	0 2 30 32 42 44 54 56 84 86	583649261416
SPT(16)	2856859565820874477	0 6 12 30 34 42 100 156 160 216 274 282 286 304 310 316	620267740476
SPT(16)	2856860335745433013	0 10 78 94 118 154 174 240 244 310 330 366 390 406 474 484	1390192299012
SPT(18)	2856860615365890647	0 26 122 132 140 164 170 180 182 204 206 216 222 246 254 264 360 386	1669812756646
STPT(10)	2856860807709971939	0 2 30 32 60 62 90 92 120 122	1862156837938