Prime p₀= 3947959824040790741 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 58 2 58 2 76 2 (?)
a_n: 0 2 78 80 138 140 198 200 276 278
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: 278
Found by: mikey
db: batch=84, k=10, 2 76 2 58 2

SPT(16)	3947958060484545221	0 30 56 90 126 132 140 170 228 258 266 272 308 342 368 398	-1763556245520
SPT(16)	3947958695134774289	0 12 50 62 90 104 110 114 158 162 168 182 210 222 260 272	-1128906016452
TPT(14)	3947958719214723929	0 2 72 74 78 80 198 200 240 242 288 290 300 302	-1104826066812
SPT(16)	3947959241363618557	0 10 42 102 154 180 192 196 240 244 256 282 334 394 426 436	-582677172184
SPT(16)	3947959422860730427	0 16 42 66 96 126 160 282 304 426 460 490 520 544 570 586	-401180060314
TPT(14)	3947959817882014577	0 2 84 86 144 146 192 194 210 212 264 266 294 296	-6158776164
SPT(16)	3947959955422542019	0 52 70 90 114 168 178 202 210 234 244 298 322 342 360 412	131381751278
STPT(10)	3947959999351255997	0 2 42 44 132 134 222 224 264 266	175310465256
TPT(14)	3947960081302219391	0 2 36 38 66 68 126 128 276 278 288 290 300 302	257261428650
SPT(16)	3947960255886361903	0 24 28 30 40 58 66 70 114 118 126 144 154 156 160 184	431845571162
SPT(16)	3947961467918203091	0 6 12 56 68 72 102 146 222 266 296 300 312 356 362 368	1643877412350