Prime p₀= 958564814885826947 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: HenkM
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	958563504898313591	0 36 50 56 68 78 146 186 260 300 368 378 390 396 410 446	-1309987513356
STPT(10)	958563630012146729	0 2 18 20 30 32 42 44 60 62	-1184873680218
STPT(10)	958563705479477231	0 2 36 38 78 80 120 122 156 158	-1109406349716
SPT(16)	958563957907395527	0 6 56 134 156 200 210 224 246 260 270 314 336 414 464 470	-856978431420
SPT(16)	958564228709114309	0 32 62 72 74 84 90 102 170 182 188 198 200 210 240 272	-586176712638
STPT(10)	958564310643699239	0 2 18 20 30 32 42 44 60 62	-504242127708
STPT(10)	958564908662571179	0 2 12 14 30 32 48 50 60 62	93776744232
SPT(16)	958565024315585117	0 30 32 44 72 110 114 120 134 140 144 182 210 222 224 254	209429758170
SPT(16)	958565200834687289	0 8 32 42 50 72 138 140 240 242 308 330 338 348 372 380	385948860342
TPT(14)	958565449129101509	0 2 12 14 42 44 132 134 252 254 258 260 300 302	634243274562
STPT(10)	958565660556444971	0 2 30 32 60 62 90 92 120 122	845670618024