Prime p₀= 724969146819969437 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: stasieks
db: batch=73, k=10, 2 10 2 28 2

STPT(10)	724968668385487649	0 2 12 14 30 32 48 50 60 62	-478434481788
SPT(16)	724968809068547503	0 6 10 54 66 70 84 96 124 136 150 154 166 210 214 220	-337751421934
STPT(10)	724968830823043151	0 2 36 38 78 80 120 122 156 158	-315996926286
TPT(14)	724968899467299521	0 2 138 140 150 152 240 242 336 338 366 368 378 380	-247352669916
SPT(16)	724968992851864391	0 30 42 50 60 68 80 126 152 198 210 218 228 236 248 278	-153968105046
STPT(10)	724969114549265777	0 2 42 44 72 74 102 104 144 146	-32270703660
SPT(16)	724969194367763479	0 10 24 84 102 112 120 124 150 154 162 172 190 250 264 274	47547794042
SPT(16)	724969215236347183	0 4 6 48 70 76 88 120 124 156 168 174 196 238 240 244	68416377746
SPT(16)	724969291247558663	0 8 20 38 54 78 104 108 176 180 206 230 246 264 276 284	144427589226
SPT(16)	724969365407470949	0 84 98 108 120 128 140 164 174 198 210 218 230 240 254 338	218587501512
STPT(10)	724969730637506951	0 2 36 38 78 80 120 122 156 158	583817537514