Prime p₀= 2339752373045472137 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Landjunge
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2339751050269049323	0 130 148 156 174 190 196 216 238 258 264 280 298 306 324 454	-1322776422814
TPT(14)	2339751177750429761	0 2 36 38 48 50 90 92 108 110 126 128 138 140	-1195295042376
SPT(16)	2339751223710467107	0 6 36 46 66 112 160 162 244 246 294 340 360 370 400 406	-1149335005030
SPT(16)	2339751277294908641	0 38 48 80 132 140 156 168 170 182 198 206 258 290 300 338	-1095750563496
SPT(16)	2339751424563226747	0 6 76 82 100 106 132 154 162 184 210 216 234 240 310 316	-948482245390
STPT(10)	2339752152075975149	0 2 42 44 60 62 78 80 120 122	-220969496988
SPT(16)	2339753210349060959	0 8 14 48 50 60 74 104 138 168 182 192 194 228 234 242	837303588822
SPT(16)	2339753241863826953	0 8 24 26 48 50 66 120 194 248 264 266 288 290 306 314	868818354816
SPT(16)	2339753523382214833	0 6 54 60 76 106 144 150 190 196 234 264 280 286 334 340	1150336742696
SPT(16)	2339753675981214893	0 8 26 96 110 126 138 210 236 308 320 336 350 420 438 446	1302935742756
SPT(16)	2339753731671259049	0 18 90 98 108 110 152 158 174 180 222 224 234 242 314 332	1358625786912