Prime p₀= 1248731897144007719 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Theadalus
db: batch=77, k=10, 2 40 2 16 2

STPT(10)	1248730684009741967	0 2 60 62 72 74 84 86 144 146	-1213134265752
SPT(16)	1248730731377346631	0 16 100 126 138 186 196 198 238 240 250 298 310 336 420 436	-1165766661088
SPT(16)	1248730879256225993	0 60 68 84 104 110 116 140 144 168 174 180 200 216 224 284	-1017887781726
SPT(16)	1248730967115269641	0 6 22 28 58 78 132 168 190 226 280 300 330 336 352 358	-930028738078
SPT(16)	1248730973224684979	0 8 14 24 54 102 138 150 152 164 200 248 278 288 294 302	-923919322740
SPT(16)	1248731362447523569	0 84 102 114 124 130 132 150 202 220 222 228 238 250 268 352	-534696484150
STPT(12)	1248731910575508587	0 2 42 44 54 56 60 62 72 74 114 116	13431500868
STPT(10)	1248731939233478639	0 2 30 32 60 62 90 92 120 122	42089470920
STPT(10)	1248732559244783441	0 2 6 8 48 50 90 92 96 98	662100775722
STPT(10)	1248732638902237397	0 2 30 32 42 44 54 56 84 86	741758229678
SPT(16)	1248732653066760889	0 10 40 70 100 102 108 144 208 244 250 252 282 312 342 352	755922753170