Prime p₀= 2602344662614487771 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 58 2 58 2 76 2 (?)
a_n: 0 2 78 80 138 140 198 200 276 278
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: 278
Found by: kotenok2000
db: batch=82, k=10, 2 76 2 58 2

SPT(16)	2602344059080594363	0 34 40 54 78 90 108 124 150 166 184 196 220 234 240 274	-603533893408
STPT(10)	2602344065018920049	0 2 42 44 60 62 78 80 120 122	-597595567722
TPT(14)	2602344362940406349	0 2 18 20 42 44 72 74 102 104 168 170 210 212	-299674081422
TPT(14)	2602344406013402537	0 2 12 14 42 44 84 86 90 92 114 116 144 146	-256601085234
SPT(16)	2602344408899255287	0 42 54 72 106 130 144 172 204 232 246 270 304 322 334 376	-253715232484
TPT(14)	2602344440123592431	0 2 36 38 66 68 126 128 156 158 168 170 180 182	-222490895340
STPT(10)	2602344942014902001	0 2 30 32 78 80 126 128 156 158	279400414230
SPT(16)	2602344963991745243	0 18 66 84 96 98 134 138 146 150 186 188 200 218 266 284	301377257472
SPT(16)	2602345159844232193	0 10 88 100 118 138 186 196 198 208 256 276 294 306 384 394	497229744422
STPT(10)	2602345287193175009	0 2 12 14 90 92 168 170 180 182	624578687238
STPT(10)	2602345556990980187	0 2 90 92 102 104 114 116 204 206	894376492416