Prime p₀= 1319376221023562417 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 40 2 40 2 58 2 (?)
a_n: 0 2 60 62 102 104 144 146 204 206
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: 206
Found by: Megacruncher
db: batch=77, k=10, 2 58 2 40 2

STPT(10)	1319374815791113997	0 2 24 26 42 44 60 62 84 86	-1405232448420
SPT(16)	1319375327667184297	0 4 16 42 46 82 100 112 144 156 174 210 214 240 252 256	-893356378120
SPT(16)	1319375720339652163	0 4 28 30 34 40 60 84 214 238 258 264 268 270 294 298	-500683910254
STPT(10)	1319375933844236237	0 2 54 56 72 74 90 92 144 146	-287179326180
SPT(16)	1319376023257044689	0 48 54 110 158 192 198 210 212 224 230 264 312 368 374 422	-197766517728
STPT(10)	1319376199496421431	0 2 30 32 78 80 126 128 156 158	-21527140986
STPT(10)	1319376318250777739	0 2 78 80 120 122 162 164 240 242	97227215322
STPT(10)	1319376396530106557	0 2 24 26 42 44 60 62 84 86	175506544140
SPT(16)	1319376628816986559	0 10 40 42 58 88 94 112 180 198 204 234 250 252 282 292	407793424142
TPT(14)	1319377051967960747	0 2 12 14 84 86 144 146 150 152 180 182 234 236	830944398330
SPT(16)	1319377156963980973	0 18 28 34 48 126 130 150 154 174 178 256 270 276 286 304	935940418556