Prime p₀= 1526972059125735137 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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 22 2 16 2

STPT(10)	1526971143696670871	0 2 78 80 108 110 138 140 216 218	-915429064266
SPT(16)	1526971322591001163	0 10 34 64 66 84 106 148 156 198 220 238 240 270 294 304	-736534733974
STPT(10)	1526971428118454567	0 2 30 32 42 44 54 56 84 86	-631007280570
STPT(10)	1526971521032703971	0 2 36 38 78 80 120 122 156 158	-538093031166
SPT(16)	1526971684565227787	0 6 84 132 146 150 176 200 276 300 326 330 344 392 470 476	-374560507350
SPT(16)	1526971733481037891	0 22 28 36 48 82 112 126 202 216 246 280 292 300 306 328	-325644697246
TPT(14)	1526972096319577967	0 2 12 14 54 56 90 92 132 134 204 206 294 296	37193842830
STPT(10)	1526973066477099251	0 2 90 92 108 110 126 128 216 218	1007351364114
SPT(16)	1526973408165088249	0 28 58 60 108 112 142 178 234 270 300 304 352 354 384 412	1349039353112
SPT(16)	1526974529857787719	0 24 34 60 70 100 102 112 132 142 144 174 184 210 220 244	2470732052582
SPT(16)	1526974642181795449	0 24 42 52 82 88 108 118 144 154 174 180 210 220 238 262	2583056060312