Prime p₀= 2602982256904627691 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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-FC] hl
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2602980821982606799	0 40 54 70 88 90 118 130 132 144 172 174 192 208 222 262	-1434922020892
STPT(10)	2602981503915785747	0 2 42 44 72 74 102 104 144 146	-752988841944
STPT(10)	2602981532529751067	0 2 30 32 60 62 90 92 120 122	-724374876624
STPT(10)	2602981542716415071	0 2 30 32 78 80 126 128 156 158	-714188212620
STPT(10)	2602982213046622397	0 2 90 92 132 134 174 176 264 266	-43858005294
SPT(16)	2602982236630120481	0 6 8 30 36 38 78 96 122 140 180 182 188 210 212 218	-20274507210
STPT(10)	2602982401312788791	0 2 6 8 18 20 30 32 36 38	144408161100
SPT(16)	2602982582688276023	0 6 30 44 104 114 144 156 188 200 230 240 300 314 338 344	325783648332
STPT(10)	2602983105104033549	0 2 18 20 30 32 42 44 60 62	848199405858
SPT(16)	2602984320915814523	0 24 56 84 90 98 156 174 200 218 276 284 290 318 350 374	2064011186832
STPT(10)	2602984952257369577	0 2 42 44 102 104 162 164 204 206	2695352741886