Prime p₀= 837878033751187547 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: Ralfy
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	837875971093792049	0 12 14 20 42 102 104 110 144 150 152 212 234 240 242 254	-2062657395498
STPT(10)	837876019223694569	0 2 18 20 30 32 42 44 60 62	-2014527492978
STPT(12)	837876249517339127	0 2 12 14 60 62 84 86 132 134 144 146	-1784233848420
TPT(14)	837876327174934037	0 2 144 146 174 176 210 212 264 266 312 314 354 356	-1706576253510
SPT(16)	837876360190852669	0 18 22 88 148 162 232 250 312 330 400 414 474 540 544 562	-1673560334878
STPT(10)	837876934823316959	0 2 18 20 30 32 42 44 60 62	-1098927870588
SPT(16)	837878091769512751	0 52 90 96 102 138 166 168 220 222 250 286 292 298 336 388	58018325204
SPT(16)	837878163873253969	0 34 48 58 78 82 88 100 102 114 120 124 144 154 168 202	130122066422
STPT(10)	837878203048170377	0 2 30 32 60 62 90 92 120 122	169296982830
STPT(10)	837878226675146651	0 2 36 38 78 80 120 122 156 158	192923959104
STPT(10)	837878287409715437	0 2 12 14 72 74 132 134 144 146	253658527890