Prime p₀= 2904605936896846097 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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 22 2 16 2

STPT(10)	2904604165159261811	0 2 36 38 78 80 120 122 156 158	-1771737584286
STPT(10)	2904604176463712477	0 2 30 32 42 44 54 56 84 86	-1760433133620
SPT(16)	2904604231503625127	0 2 14 54 86 116 200 234 242 276 360 390 422 462 474 476	-1705393220970
SPT(16)	2904604873694715617	0 12 32 60 62 74 132 144 182 194 252 264 266 294 314 326	-1063202130480
SPT(16)	2904605466482276807	0 32 42 50 54 56 60 104 132 176 180 182 186 194 204 236	-470414569290
SPT(16)	2904605847790627117	0 12 100 114 124 166 210 216 250 256 300 342 352 366 454 466	-89106218980
STPT(10)	2904606042776683781	0 2 6 8 48 50 90 92 96 98	105879837684
SPT(16)	2904606305410169089	0 22 34 58 60 78 88 118 144 174 184 202 204 228 240 262	368513322992
SPT(16)	2904606828155817803	0 74 78 98 126 134 194 210 254 270 330 338 366 386 390 464	891258971706
STPT(10)	2904606829389274781	0 2 36 38 78 80 120 122 156 158	892492428684
SPT(16)	2904607016378332597	0 22 36 52 70 94 132 156 160 184 222 246 264 280 294 316	1079481486500