Prime p₀= 2397021316605939227 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: [SG-2W]Kurzer
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2397020679830192849	0 32 68 72 138 170 242 248 312 318 390 422 488 492 528 560	-636775746378
STPT(10)	2397020758311674249	0 2 18 20 30 32 42 44 60 62	-558294264978
SPT(16)	2397020773495172057	0 32 90 116 140 146 162 204 272 314 330 336 360 386 444 476	-543110767170
STPT(10)	2397020784601668521	0 2 6 8 18 20 30 32 36 38	-532004270706
TPT(14)	2397021108952448939	0 2 42 44 162 164 312 314 342 344 372 374 492 494	-207653490288
TPT(14)	2397021235632623597	0 2 54 56 114 116 132 134 240 242 270 272 312 314	-80973315630
SPT(16)	2397021757645486471	0 42 66 100 112 142 190 232 240 282 330 360 372 406 430 472	441039547244
SPT(16)	2397022055711822237	0 2 12 26 44 66 110 116 150 156 200 222 240 254 264 266	739105883010
SPT(16)	2397022309959121067	0 60 66 72 104 110 144 146 150 152 186 192 224 230 236 296	993353181840
TPT(14)	2397022648792299971	0 2 18 20 120 122 126 128 156 158 198 200 210 212	1332186360744
STPT(10)	2397022740211740437	0 2 30 32 42 44 54 56 84 86	1423605801210