Prime p₀= 2729440871674017857 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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-FC] hl
db: batch=82, k=10, 2 28 2 40 2

SPT(16)	2729439607479959359	0 58 72 124 130 178 238 240 322 324 384 432 438 490 504 562	-1264194058498
SPT(16)	2729439733117306919	0 12 24 50 54 68 92 108 164 180 204 218 222 248 260 272	-1138556710938
SPT(16)	2729439884969251379	0 32 38 80 90 98 162 168 224 230 294 302 312 354 360 392	-986704766478
STPT(10)	2729440239173755571	0 2 36 38 78 80 120 122 156 158	-632500262286
SPT(16)	2729440259338094537	0 56 72 74 92 96 120 140 156 176 200 204 222 224 240 296	-612335923320
STPT(10)	2729440763154869219	0 2 42 44 120 122 198 200 240 242	-108519148638
STPT(10)	2729440991808040199	0 2 18 20 30 32 42 44 60 62	120134022342
STPT(10)	2729441128710859229	0 2 42 44 60 62 78 80 120 122	257036841372
SPT(16)	2729442040930320437	0 42 54 56 116 140 192 204 242 254 306 330 390 392 404 446	1169256302580
STPT(10)	2729442249094633901	0 2 6 8 48 50 90 92 96 98	1377420616044
SPT(16)	2729442557124712573	0 48 70 84 88 118 124 130 198 204 210 240 244 258 280 328	1685450694716