Prime p₀= 2801006252827726367 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: Vato
db: batch=82, k=10, 2 28 2 40 2

SPT(16)	2801004287558484037	0 16 42 52 64 72 76 112 114 150 154 162 174 184 210 226	-1965269242330
SPT(16)	2801004370378688231	0 6 20 30 50 72 90 108 140 158 176 198 218 228 242 248	-1882449038136
SPT(16)	2801004370990724999	0 20 44 114 188 272 288 308 324 344 360 444 518 588 612 632	-1881837001368
SPT(16)	2801005256390255261	0 12 36 50 68 96 120 138 140 158 182 210 228 242 266 278	-996437471106
STPT(10)	2801005413829789289	0 2 12 14 30 32 48 50 60 62	-838997937078
STPT(10)	2801005652560794689	0 2 48 50 90 92 132 134 180 182	-600266931678
SPT(16)	2801006360513186563	0 6 28 34 64 106 148 154 300 306 348 390 420 426 448 454	107685460196
SPT(16)	2801006640792926243	0 14 54 80 90 96 126 156 248 278 308 314 324 350 390 404	387965199876
STPT(10)	2801006895738528077	0 2 30 32 42 44 54 56 84 86	642910801710
STPT(10)	2801007220425754589	0 2 18 20 30 32 42 44 60 62	967598028222
TPT(14)	2801007357274666691	0 2 6 8 30 32 60 62 138 140 180 182 186 188	1104446940324