Prime p₀= 978216078840528467 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: [SG-2W]Kurzer
db: batch=76, k=10, 2 28 2 28 2

STPT(10)	978215169008448359	0 2 18 20 30 32 42 44 60 62	-909832080108
SPT(16)	978215260254803843	0 6 20 56 74 86 90 98 216 224 228 240 258 294 308 314	-818585724624
SPT(16)	978215448066131501	0 20 30 56 78 98 128 146 150 168 198 218 240 266 276 296	-630774396966
SPT(16)	978215574666009881	0 6 12 26 42 92 102 126 236 260 270 320 336 350 356 362	-504174518586
SPT(16)	978215649641631619	0 12 22 64 72 82 100 130 162 192 210 220 228 270 280 292	-429198896848
STPT(10)	978215711563937879	0 2 42 44 90 92 138 140 180 182	-367276590588
SPT(16)	978216233586168503	0 26 56 78 90 110 150 156 188 194 234 254 266 288 318 344	154745640036
STPT(12)	978216381789460739	0 2 30 32 48 50 72 74 90 92 120 122	302948932272
STPT(10)	978216450829805657	0 2 30 32 42 44 54 56 84 86	371989277190
STPT(10)	978216456414147869	0 2 78 80 120 122 162 164 240 242	377573619402
TPT(14)	978216665543134817	0 2 42 44 60 62 204 206 324 326 330 332 372 374	586702606350