Prime p₀= 599562731515201451 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: ChelseaOilman
db: batch=58, k=10, 2 4 2 40 2

SPT(14)	599562649949366273	0 14 36 44 66 98 114 140 156 188 210 218 240 254	-81565835178
SPT(14)	599562652234953877	0 16 30 64 114 172 184 192 204 262 312 346 360 376	-79280247574
TPT(12)	599562653368084577	0 2 54 56 84 86 150 152 222 224 294 296	-78147116874
SPT(16)	599562655035917401	0 48 76 78 90 118 136 156 322 342 360 388 400 402 430 478	-76479284050
TPT(12)	599562687460503881	0 2 30 32 78 80 168 170 210 212 240 242	-44054697570
STPT(10)	599562715537554887	0 2 24 26 42 44 60 62 84 86	-15977646564
STPT(10)	599562762757744361	0 2 36 38 78 80 120 122 156 158	31242542910
SPT(14)	599562780577044667	0 4 12 34 40 70 82 84 96 126 132 154 162 166	49061843216
SPT(14)	599562814570718431	0 28 60 88 112 130 132 136 138 156 180 208 240 268	83055516980
SPT(14)	599562832147774123	0 16 28 30 70 88 100 114 126 144 184 186 198 214	100632572672
SPT(14)	599562854713349341	0 12 52 66 70 100 112 180 192 222 226 240 280 292	123198147890