Prime p₀= 2678298152299566779 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: [SG-2W]Kurzer
db: batch=82, k=10, 2 10 2 76 2

SPT(16)	2678296340417405159	0 18 44 60 84 92 104 128 144 168 180 188 212 228 254 272	-1811882161620
STPT(10)	2678296518043463501	0 2 30 32 60 62 90 92 120 122	-1634256103278
SPT(16)	2678296571206255147	0 10 16 24 54 66 70 82 114 126 130 142 172 180 186 196	-1581093311632
SPT(16)	2678296689543684091	0 16 18 36 58 60 82 100 108 126 148 150 172 190 192 208	-1462755882688
STPT(10)	2678297859001132967	0 2 30 32 42 44 54 56 84 86	-293298433812
SPT(16)	2678298006187363067	0 2 6 32 144 156 170 176 210 216 230 242 354 380 384 386	-146112203712
SPT(16)	2678298221797873811	0 6 66 86 126 140 152 180 182 210 222 236 276 296 356 362	69498307032
STPT(10)	2678298378078203891	0 2 48 50 108 110 168 170 216 218	225778637112
STPT(10)	2678298842643682541	0 2 6 8 48 50 90 92 96 98	690344115762
SPT(16)	2678298883616409101	0 2 6 12 68 80 126 132 146 152 198 210 266 272 276 278	731316842322
STPT(10)	2678299018663391477	0 2 12 14 72 74 132 134 144 146	866363824698