Prime p₀= 1047519006565537349 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: stoneageman
db: batch=76, k=10, 2 16 2 10 2

STPT(10)	1047517429740099917	0 2 30 32 42 44 54 56 84 86	-1576825437432
SPT(16)	1047517629839776181	0 78 98 116 120 150 162 186 272 296 308 338 342 360 380 458	-1376725761168
TPT(14)	1047517982658023297	0 2 54 56 114 116 120 122 150 152 192 194 222 224	-1023907514052
TPT(14)	1047518161305886769	0 2 78 80 102 104 198 200 228 230 252 254 300 302	-845259650580
STPT(10)	1047518629374997457	0 2 12 14 42 44 72 74 84 86	-377190539892
SPT(16)	1047518950548711811	0 16 88 100 132 148 156 172 216 232 240 256 288 300 372 388	-56016825538
SPT(16)	1047519443833523123	0 8 36 50 68 126 134 170 204 240 248 306 324 338 366 374	437267985774
SPT(16)	1047519544122193613	0 30 44 78 126 146 216 240 344 368 438 458 506 540 554 584	537556656264
SPT(16)	1047519668443707709	0 42 54 78 118 120 138 202 210 274 292 294 334 358 370 412	661878170360
SPT(16)	1047519778993647569	0 18 78 102 120 128 158 200 210 252 282 290 308 332 392 410	772428110220
SPT(18)	1047520366212128777	0 12 42 56 122 126 152 156 170 246 260 264 290 294 360 374 404 416	1359646591428