Prime p₀= 2774677081095573677 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 70 2 28 2 28 2 70 2 (?)
a_n: 0 2 72 74 102 104 132 134 204 206
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: [SG-FC] hl
db: batch=82, k=10, 2 70 2 28 2

SPT(16)	2774675694946023439	0 64 84 88 102 120 132 138 154 160 172 190 204 208 228 292	-1386149550238
SPT(16)	2774675782554009599	0 14 20 42 72 114 198 210 212 224 308 350 380 402 408 422	-1298541564078
SPT(16)	2774675794558210271	0 2 50 68 78 86 122 126 332 336 372 380 390 408 456 458	-1286537363406
SPT(16)	2774676041183834299	0 10 12 28 54 94 150 154 288 292 348 388 414 430 432 442	-1039911739378
STPT(10)	2774676450980829719	0 2 18 20 30 32 42 44 60 62	-630114743958
SPT(16)	2774676688944576071	0 8 32 50 68 126 132 162 206 236 242 300 318 336 360 368	-392150997606
STPT(10)	2774677683901437911	0 2 36 38 78 80 120 122 156 158	602805864234
TPT(14)	2774677873269391049	0 2 42 44 48 50 102 104 120 122 162 164 198 200	792173817372
SPT(16)	2774678121825900509	0 44 60 62 162 192 218 248 294 324 350 380 480 482 498 542	1040730326832
SPT(16)	2774678192808166199	0 32 60 78 92 132 144 162 170 188 200 240 254 272 300 332	1111712592522
SPT(16)	2774678234517215399	0 18 38 44 50 60 102 128 204 230 272 282 288 294 314 332	1153421641722