Prime p₀= 2536527547142605139 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: JayPi
db: batch=82, k=10, 2 10 2 16 2

SPT(16)	2536527035743908343	0 6 30 34 70 96 100 126 148 174 178 204 240 244 268 274	-511398696796
STPT(10)	2536527078263081339	0 2 18 20 60 62 102 104 120 122	-468879523800
SPT(16)	2536527080759388239	0 14 18 32 54 78 92 98 144 150 164 188 210 224 228 242	-466383216900
SPT(16)	2536527115538458337	0 14 26 44 54 72 102 144 152 194 224 242 252 270 282 296	-431604146802
STPT(10)	2536527394544933129	0 2 18 20 30 32 42 44 60 62	-152597672010
SPT(16)	2536527424729368683	0 8 26 48 60 114 120 140 174 194 200 254 266 288 306 314	-122413236456
STPT(10)	2536527867259415171	0 2 6 8 18 20 30 32 36 38	320116810032
SPT(16)	2536527992117830187	0 2 72 162 170 206 210 242 330 362 366 402 410 500 570 572	444975225048
STPT(10)	2536528921792150427	0 2 72 74 102 104 132 134 204 206	1374649545288
SPT(16)	2536529131148273563	0 40 78 84 108 124 126 190 324 388 390 406 430 436 474 514	1584005668424
SPT(16)	2536529570603632579	0 24 34 52 54 82 112 114 118 120 150 178 180 198 208 232	2023461027440