Prime p₀= 1320785851467404261 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Megacruncher
db: batch=77, k=10, 2 28 2 28 2

TPT(14)	1320785324556923957	0 2 84 86 144 146 180 182 222 224 264 266 294 296	-526910480304
SPT(16)	1320785377020775531	0 12 112 118 120 126 136 138 160 162 172 178 180 186 286 298	-474446628730
STPT(10)	1320785420275380089	0 2 30 32 60 62 90 92 120 122	-431192024172
SPT(16)	1320785467453337779	0 4 10 12 22 34 82 202 222 342 390 402 412 414 420 424	-384014066482
SPT(16)	1320785502791511049	0 12 28 42 52 90 108 130 222 244 262 300 310 324 340 352	-348675893212
SPT(16)	1320785526107565613	0 46 84 120 124 144 168 186 208 226 250 270 274 310 348 394	-325359838648
SPT(16)	1320785863667389283	0 14 30 50 84 90 140 194 234 288 338 344 378 398 414 428	12199985022
STPT(10)	1320786544841138117	0 2 30 32 42 44 54 56 84 86	693373733856
STPT(10)	1320786797845639877	0 2 30 32 42 44 54 56 84 86	946378235616
SPT(16)	1320786826238239639	0 24 60 82 102 112 118 132 220 234 240 250 270 292 328 352	974770835378
STPT(10)	1320787125443641391	0 2 6 8 48 50 90 92 96 98	1273976237130