Prime p₀= 2903122678089144617 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=82, k=10, 2 28 2 10 2

SPT(16)	2903121220849476547	0 12 34 42 82 126 174 180 196 202 250 294 334 342 364 376	-1457239668070
SPT(16)	2903121226819153121	0 6 8 20 36 38 66 68 78 80 108 110 126 138 140 146	-1451269991496
STPT(10)	2903121615310347017	0 2 30 32 72 74 114 116 144 146	-1062778797600
SPT(16)	2903122077529353311	0 36 60 90 128 158 168 188 198 218 228 258 296 326 350 386	-600559791306
SPT(16)	2903122355523387457	0 82 84 102 106 120 124 154 162 192 196 210 214 232 234 316	-322565757160
STPT(10)	2903122631642088641	0 2 36 38 78 80 120 122 156 158	-46447055976
TPT(14)	2903122891358083349	0 2 18 20 48 50 60 62 222 224 300 302 348 350	213268938732
STPT(10)	2903123288195488439	0 2 48 50 90 92 132 134 180 182	610106343822
SPT(16)	2903123879123989777	0 6 64 130 172 190 202 256 270 324 336 354 396 462 520 526	1201034845160
STPT(10)	2903124052734399017	0 2 30 32 42 44 54 56 84 86	1374645254400
SPT(16)	2903124072180336619	0 30 114 142 154 244 304 310 312 318 378 468 480 508 592 622	1394091192002