Prime p₀= 3001417895325876779 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: Orange Kid
db: batch=82, k=10, 2 16 2 10 2

TPT(14)	3001416583444085069	0 2 18 20 30 32 90 92 132 134 168 170 228 230	-1311881791710
SPT(16)	3001416830630516401	0 22 28 90 108 112 132 138 160 166 186 190 208 270 276 298	-1064695360378
SPT(16)	3001416852278246119	0 12 40 60 70 82 124 138 154 168 210 222 232 252 280 292	-1043047630660
SPT(18)	3001417552293653089	0 18 70 84 94 102 132 160 178 234 252 280 310 318 328 342 394 412	-343032223690
SPT(16)	3001417711554734819	0 32 42 50 84 90 132 152 210 230 272 278 312 320 330 362	-183771141960
SPT(16)	3001417814538997517	0 20 42 54 74 86 126 144 152 170 210 222 242 254 276 296	-80786879262
SPT(16)	3001418370479955427	0 70 114 150 162 172 204 232 234 262 294 304 316 352 396 466	475154078648
STPT(10)	3001418387014869137	0 2 30 32 42 44 54 56 84 86	491688992358
STPT(10)	3001418447291027609	0 2 18 20 30 32 42 44 60 62	551965150830
SPT(16)	3001418475538764499	0 12 102 108 180 184 228 238 294 304 348 352 424 430 520 532	580212887720
TPT(14)	3001418597857734581	0 2 18 20 36 38 156 158 258 260 270 272 288 290	702531857802