Prime p₀= 2887667742722930777 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: Paul
db: batch=82, k=10, 2 28 2 10 2

TPT(14)	2887666092236389991	0 2 36 38 48 50 126 128 156 158 168 170 288 290	-1650486540786
SPT(16)	2887666199808153769	0 24 40 48 84 120 124 144 154 174 178 214 250 258 274 298	-1542914777008
SPT(16)	2887667031349828129	0 34 70 100 114 150 168 174 244 250 268 304 318 348 384 418	-711373102648
TPT(14)	2887667486583085469	0 2 18 20 30 32 48 50 198 200 228 230 240 242	-256139845308
SPT(16)	2887667511673138937	0 14 32 80 110 120 152 186 200 234 266 276 306 354 372 386	-231049791840
SPT(16)	2887667649020696177	0 20 42 44 86 114 116 174 182 240 242 270 312 314 336 356	-93702234600
STPT(10)	2887667761085853041	0 2 6 8 18 20 30 32 36 38	18362922264
STPT(10)	2887667968730617439	0 2 48 50 90 92 132 134 180 182	226007686662
STPT(10)	2887668516461752337	0 2 30 32 42 44 54 56 84 86	773738821560
SPT(16)	2887668599516918219	0 14 38 80 122 158 162 188 204 230 234 270 312 354 378 392	856793987442
SPT(16)	2887669139371847269	0 24 40 48 54 70 108 124 138 154 192 208 214 222 238 262	1396648916492