Prime p₀= 976620005087714717 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: HenkM
db: batch=76, k=10, 2 28 2 40 2

SPT(16)	976619042926215343	0 18 40 78 90 144 156 226 228 298 310 364 376 414 436 454	-962161499374
STPT(10)	976619418418016249	0 2 30 32 60 62 90 92 120 122	-586669698468
TPT(14)	976619476257243911	0 2 78 80 120 122 138 140 210 212 306 308 330 332	-528830470806
SPT(16)	976619480668020559	0 12 42 108 118 132 144 168 184 208 220 234 244 310 340 352	-524419694158
STPT(10)	976619678110361111	0 2 30 32 78 80 126 128 156 158	-326977353606
STPT(10)	976619755161707177	0 2 54 56 132 134 210 212 264 266	-249926007540
STPT(10)	976620038278755881	0 2 6 8 48 50 90 92 96 98	33191041164
SPT(16)	976620136736866067	0 32 50 56 66 84 102 132 134 164 182 200 210 216 234 266	131649151350
STPT(10)	976620291822545369	0 2 18 20 30 32 42 44 60 62	286734830652
SPT(16)	976620369082614757	0 4 40 46 54 96 130 156 184 210 244 286 294 300 336 340	363994900040
SPT(16)	976620502747902013	0 16 18 36 66 78 84 106 108 130 136 148 178 196 198 214	497660187296