Prime p₀= 2787985872869043557 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: Roadranner
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	2787984140067035303	0 30 80 84 140 150 168 186 188 206 224 234 290 294 344 374	-1732802008254
SPT(16)	2787984630016197713	0 6 26 48 50 80 98 104 210 216 234 264 266 288 308 314	-1242852845844
SPT(16)	2787984797874268123	0 6 18 36 40 84 94 106 108 120 130 174 178 196 208 214	-1074994775434
STPT(10)	2787985199410805267	0 2 30 32 42 44 54 56 84 86	-673458238290
SPT(16)	2787985839446347651	0 16 30 40 42 90 96 126 226 256 262 310 312 322 336 352	-33422695906
STPT(10)	2787985859749990307	0 2 90 92 102 104 114 116 204 206	-13119053250
TPT(14)	2787986142818545841	0 2 126 128 186 188 198 200 228 230 300 302 306 308	269949502284
SPT(16)	2787986259986685347	0 2 20 66 74 80 90 102 104 116 126 132 140 186 204 206	387117641790
SPT(16)	2787986383331492653	0 4 6 16 100 204 216 228 256 268 280 384 468 478 480 484	510462449096
SPT(16)	2787986389598496301	0 10 12 28 36 42 48 66 232 250 256 262 270 286 288 298	516729452744
STPT(10)	2787986895510965957	0 2 12 14 72 74 132 134 144 146	1022641922400