Prime p₀= 2323347309026309339 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 182
Found by: Landjunge
db: batch=81, k=10, 2 46 2 40 2

SPT(16)	2323346648557675339	0 4 18 58 82 174 184 190 222 228 238 330 354 394 408 412	-660468634000
SPT(16)	2323346802985919423	0 6 14 56 60 84 104 116 138 150 170 194 198 240 248 254	-506040389916
STPT(10)	2323346969583124781	0 2 6 8 18 20 30 32 36 38	-339443184558
STPT(10)	2323346980334986181	0 2 36 38 78 80 120 122 156 158	-328691323158
SPT(16)	2323347074552369989	0 48 84 88 90 118 132 184 198 250 264 292 294 298 334 382	-234473939350
SPT(16)	2323347110500291321	0 66 78 96 120 160 166 216 322 372 378 418 442 460 472 538	-198526018018
STPT(10)	2323347356894976077	0 2 30 32 42 44 54 56 84 86	47868666738
STPT(10)	2323347632321284367	0 2 30 32 42 44 54 56 84 86	323294975028
STPT(10)	2323347707253065327	0 2 30 32 102 104 174 176 204 206	398226755988
SPT(16)	2323347739830379811	0 48 72 86 126 128 146 152 156 162 180 182 222 236 260 308	430804070472
TPT(14)	2323348058523330689	0 2 48 50 90 92 102 104 168 170 210 212 270 272	749497021350