Prime p₀= 1519206819429770057 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: crashtech
db: batch=78, k=10, 2 28 2 40 2

SPT(16)	1519205595565762477	0 6 10 16 24 42 60 66 70 76 94 112 120 126 130 136	-1223864007580
STPT(10)	1519205949074937881	0 2 6 8 18 20 30 32 36 38	-870354832176
SPT(16)	1519205949820716827	0 20 50 126 134 152 174 176 180 182 204 222 230 306 336 356	-869609053230
SPT(16)	1519206181860036161	0 20 42 50 60 86 98 122 126 150 162 188 198 206 228 248	-637569733896
SPT(13)	1519206268019991269	0 42 102 180 192 210 222 234 252 264 342 402 444	-551409778788
SPT(16)	1519206409595277209	0 14 42 72 114 134 144 174 380 410 420 440 482 512 540 554	-409834492848
STPT(10)	1519206861362501321	0 2 6 8 48 50 90 92 96 98	41932731264
SPT(16)	1519206967878905351	0 50 62 102 120 140 186 198 200 212 258 278 296 336 348 398	148449135294
TPT(14)	1519207495323673667	0 2 30 32 42 44 252 254 330 332 414 416 420 422	675893903610
STPT(10)	1519207852786971827	0 2 30 32 42 44 54 56 84 86	1033357201770
SPT(16)	1519208345008089451	0 28 42 58 72 88 100 156 172 228 240 256 270 286 300 328	1525578319394