Prime p₀= 1289077587775577231 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: Cruncher Pete
db: batch=77, k=10, 2 28 2 46 2

SPT(16)	1289075163787034579	0 2 20 72 114 132 134 168 314 348 350 368 410 462 480 482	-2423988542652
STPT(10)	1289076198402681509	0 2 42 44 60 62 78 80 120 122	-1389372895722
STPT(10)	1289076301550266259	0 2 30 32 60 62 90 92 120 122	-1286225310972
SPT(16)	1289076474520244359	0 10 28 34 130 138 208 210 388 390 460 468 564 570 588 598	-1113255332872
SPT(16)	1289077038010128733	0 18 28 78 84 88 114 148 156 190 216 220 226 276 286 304	-549765448498
STPT(10)	1289077146367575119	0 2 18 20 60 62 102 104 120 122	-441408002112
SPT(16)	1289078071629867131	0 2 56 72 90 92 120 138 170 188 216 218 236 252 306 308	483854289900
SPT(16)	1289078178303347129	0 8 42 62 104 110 120 174 188 242 252 258 300 320 354 362	590527769898
SPT(16)	1289078225295380413	0 10 18 28 60 64 66 70 144 148 150 154 186 196 204 214	637519803182
STPT(10)	1289078457335358659	0 2 12 14 30 32 48 50 60 62	869559781428
SPT(16)	1289079010810516559	0 44 54 60 62 78 90 132 140 182 194 210 212 218 228 272	1423034939328