Prime p₀= 749568138971308367 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: [SG]steini
db: batch=73, k=10, 2 58 2 10 2

STPT(10)	749567367186143711	0 2 6 8 18 20 30 32 36 38	-771785164656
STPT(10)	749567448920074451	0 2 6 8 18 20 30 32 36 38	-690051233916
TPT(14)	749567558248598189	0 2 42 44 78 80 90 92 198 200 438 440 462 464	-580722710178
STPT(10)	749567966779757681	0 2 6 8 108 110 210 212 216 218	-172191550686
SPT(16)	749568118124082793	0 18 40 48 70 76 78 106 180 208 210 216 238 246 268 286	-20847225574
SPT(16)	749568129182088679	0 4 24 58 72 94 124 130 162 168 198 220 234 268 288 292	-9789219688
SPT(16)	749568255849212557	0 10 24 42 52 64 84 90 136 142 162 174 184 202 216 226	116877904190
STPT(10)	749568402255301919	0 2 12 14 90 92 168 170 180 182	263283993552
SPT(16)	749568439895921969	0 38 68 72 78 120 140 144 218 222 242 284 290 294 324 362	300924613602
STPT(10)	749568661834872557	0 2 30 32 42 44 54 56 84 86	522863564190
SPT(16)	749569057092298847	0 24 62 74 96 152 174 186 230 242 264 320 342 354 392 416	918120990480