Prime p₀= 1598180100510092987 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: crashtech
db: batch=78, k=10, 2 22 2 16 2

SPT(16)	1598178853699356899	0 102 158 200 210 248 258 320 390 452 462 500 510 552 608 710	-1246810736088
STPT(10)	1598178954240560399	0 2 42 44 120 122 198 200 240 242	-1146269532588
SPT(16)	1598179175331133217	0 36 50 54 72 96 120 174 182 236 260 284 302 306 320 356	-925178959770
SPT(16)	1598179829579048087	0 12 26 72 86 114 120 144 152 176 182 210 224 270 284 296	-270931044900
STPT(10)	1598180000730569951	0 2 30 32 60 62 90 92 120 122	-99779523036
SPT(22)	1598180095197789209	0 8 42 60 74 108 110 144 182 204 222 350 368 390 428 462 464 498 512 530 564 572	-5312303778
SPT(18)	1598180353240094599	0 34 42 52 94 138 162 178 180 262 264 280 304 348 390 400 408 442	252730001612
TPT(14)	1598180467247045621	0 2 30 32 60 62 168 170 210 212 330 332 366 368	366736952634
STPT(10)	1598180667381899297	0 2 30 32 72 74 114 116 144 146	566871806310
SPT(18)	1598181157319120149	0 18 34 54 58 70 90 112 132 220 240 262 282 294 298 318 334 352	1056809027162
SPT(16)	1598181398025998339	0 2 8 24 60 74 98 102 140 144 168 182 218 234 240 242	1297515905352