Prime p₀= 767998407142758401 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Donn Pike (USAF Ret)
db: batch=73, k=10, 2 34 2 40 2

SPT(16)	767996629835348453	0 8 30 50 140 144 210 228 236 254 320 324 414 434 456 464	-1777307409948
SPT(16)	767996833115080927	0 10 52 72 112 120 226 270 322 366 472 480 520 540 582 592	-1574027677474
STPT(10)	767997045725704967	0 2 42 44 72 74 102 104 144 146	-1361417053434
SPT(16)	767997394118822039	0 20 30 78 98 110 138 162 188 212 240 252 272 320 330 350	-1013023936362
SPT(16)	767997865400141879	0 12 18 44 54 72 90 98 144 152 170 188 198 224 230 242	-541742616522
SPT(16)	767998136795417113	0 10 28 48 70 106 120 138 148 166 180 216 238 258 276 286	-270347341288
STPT(10)	767998485354844559	0 2 12 14 30 32 48 50 60 62	78212086158
STPT(10)	767998569737904257	0 2 30 32 42 44 54 56 84 86	162595145856
TPT(14)	767998581105095237	0 2 72 74 120 122 162 164 210 212 240 242 252 254	173962336836
STPT(10)	767998808987767967	0 2 30 32 42 44 54 56 84 86	401845009566
SPT(16)	767998867109686207	0 30 34 154 172 184 186 190 336 340 342 354 372 492 496 526	459966927806