Prime p₀= 815778259806631949 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: [SG]FX
db: batch=73, k=10, 2 16 2 40 2

STPT(10)	815777231555659871	0 2 36 38 78 80 120 122 156 158	-1028250972078
SPT(16)	815777273626459961	0 26 50 108 116 150 152 168 200 216 218 252 260 318 342 368	-986180171988
STPT(10)	815777346317133449	0 2 18 20 30 32 42 44 60 62	-913489498500
STPT(10)	815777377220599217	0 2 54 56 72 74 90 92 144 146	-882586032732
SPT(16)	815777461478155999	0 54 60 70 82 144 168 172 210 214 238 300 312 322 328 382	-798328475950
SPT(16)	815778126084857381	0 18 32 102 116 216 222 278 300 356 362 462 476 546 560 578	-133721774568
STPT(10)	815778681744854879	0 2 18 20 60 62 102 104 120 122	421938222930
SPT(16)	815779427921446883	0 30 44 48 138 174 200 240 254 294 320 356 446 450 464 494	1168114814934
STPT(10)	815779612954556189	0 2 18 20 30 32 42 44 60 62	1353147924240
STPT(10)	815779627253384081	0 2 36 38 78 80 120 122 156 158	1367446752132
STPT(10)	815779829760665681	0 2 6 8 18 20 30 32 36 38	1569954033732