Prime p₀= 1016798587598605709 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: stoneageman
db: batch=76, k=10, 2 16 2 10 2

SPT(16)	1016797500158311799	0 2 44 74 90 92 98 140 162 204 210 212 228 258 300 302	-1087440293910
SPT(16)	1016797612513042133	0 44 56 68 78 114 140 144 170 174 200 236 246 258 270 314	-975085563576
SPT(16)	1016797622154445727	0 30 36 72 102 116 134 140 156 162 180 194 224 260 266 296	-965444159982
SPT(16)	1016797982399028769	0 70 114 118 120 130 142 214 228 300 312 322 324 328 372 442	-605199576940
STPT(10)	1016798172617678039	0 2 78 80 120 122 162 164 240 242	-414980927670
SPT(16)	1016798368385955293	0 24 54 146 150 158 164 168 206 210 216 224 228 320 350 374	-219212650416
SPT(16)	1016798812539152171	0 8 12 86 90 126 152 158 240 246 272 308 312 386 390 398	224940546462
SPT(16)	1016798820054261949	0 4 34 64 118 124 130 144 148 162 168 174 228 258 288 292	232455656240
STPT(10)	1016798976441221717	0 2 30 32 102 104 174 176 204 206	388842616008
STPT(10)	1016799214363283171	0 2 6 8 18 20 30 32 36 38	626764677462
SPT(16)	1016799276027298007	0 26 72 144 150 210 236 252 254 270 296 356 362 434 480 506	688428692298