Prime p₀= 1526570897560658627 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: crashtech
db: batch=78, k=10, 2 28 2 10 2

SPT(16)	1526569934838692921	0 36 48 78 80 128 132 150 188 206 210 258 260 290 302 338	-962721965706
SPT(16)	1526569957694232881	0 72 110 150 180 300 302 306 332 336 338 458 488 528 566 638	-939866425746
SPT(16)	1526570355410175083	0 8 30 50 78 116 120 126 170 176 180 218 246 266 288 296	-542150483544
SPT(16)	1526570429037756899	0 2 14 20 42 84 90 104 150 164 170 212 234 240 252 254	-468522901728
TPT(14)	1526570799493270439	0 2 42 44 138 140 150 152 228 230 240 242 270 272	-98067388188
SPT(16)	1526570854424242241	0 20 26 42 60 62 68 72 86 90 96 98 116 132 138 158	-43136416386
SPT(16)	1526570934258908807	0 2 20 86 90 126 132 146 150 164 170 206 210 276 294 296	36698250180
SPT(16)	1526570982888396377	0 56 60 62 66 72 140 170 186 216 284 290 294 296 300 356	85327737750
SPT(16)	1526571302738648587	0 4 10 24 40 46 100 124 156 180 234 240 256 270 276 280	405177989960
STPT(12)	1526571375310399967	0 2 24 26 84 86 90 92 150 152 174 176	477749741340
STPT(10)	1526571851600474477	0 2 30 32 42 44 54 56 84 86	954039815850