Prime p₀= 2787985199410805267 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Roadranner
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2787983581941586087	0 10 12 22 24 52 90 120 124 154 192 220 222 232 234 244	-1617469219180
STPT(10)	2787983917454640251	0 2 6 8 48 50 90 92 96 98	-1281956165016
STPT(10)	2787984088475898239	0 2 12 14 90 92 168 170 180 182	-1110934907028
SPT(16)	2787984140067035303	0 30 80 84 140 150 168 186 188 206 224 234 290 294 344 374	-1059343769964
SPT(16)	2787984630016197713	0 6 26 48 50 80 98 104 210 216 234 264 266 288 308 314	-569394607554
SPT(16)	2787984797874268123	0 6 18 36 40 84 94 106 108 120 130 174 178 196 208 214	-401536537144
SPT(16)	2787985839446347651	0 16 30 40 42 90 96 126 226 256 262 310 312 322 336 352	640035542384
STPT(10)	2787985859749990307	0 2 90 92 102 104 114 116 204 206	660339185040
STPT(10)	2787985872869043557	0 2 42 44 72 74 102 104 144 146	673458238290
TPT(14)	2787986142818545841	0 2 126 128 186 188 198 200 228 230 300 302 306 308	943407740574
SPT(16)	2787986259986685347	0 2 20 66 74 80 90 102 104 116 126 132 140 186 204 206	1060575880080