Prime p₀= 2551049021063383661 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: JayPi
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2551047250334715311	0 12 18 36 50 62 72 90 98 116 126 138 152 170 176 188	-1770728668350
SPT(18)	2551047428757116381	0 56 60 66 68 72 98 122 138 140 156 180 206 210 212 218 222 278	-1592306267280
STPT(10)	2551047486893655089	0 2 18 20 30 32 42 44 60 62	-1534169728572
STPT(10)	2551047704940606227	0 2 30 32 72 74 114 116 144 146	-1316122777434
SPT(16)	2551047836675389529	0 2 32 44 74 102 104 164 168 228 230 258 288 300 330 332	-1184387994132
SPT(16)	2551047909953516867	0 6 14 20 24 50 56 116 150 210 216 242 246 252 260 266	-1111109866794
SPT(16)	2551049026788659011	0 40 52 76 82 102 150 172 300 322 370 390 396 420 432 472	5725275350
STPT(10)	2551049684465217359	0 2 48 50 90 92 132 134 180 182	663401833698
SPT(16)	2551049763480833851	0 10 12 22 88 108 112 126 172 186 190 210 276 286 288 298	742417450190
SPT(16)	2551050084002599987	0 10 30 54 112 114 136 156 220 240 262 264 322 346 366 376	1062939216326
STPT(10)	2551050243170638787	0 2 42 44 132 134 222 224 264 266	1222107255126