Prime p₀= 2549578759385744687 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

TPT(14)	2549577953387560001	0 2 18 20 90 92 96 98 126 128 168 170 240 242	-805998184686
STPT(10)	2549578116878237909	0 2 48 50 60 62 72 74 120 122	-642507506778
STPT(10)	2549578201122120359	0 2 78 80 120 122 162 164 240 242	-558263624328
SPT(16)	2549578202689269217	0 34 46 82 90 96 100 120 166 186 190 196 204 240 252 286	-556696475470
TPT(14)	2549578397052675731	0 2 30 32 78 80 120 122 240 242 276 278 306 308	-362333068956
SPT(16)	2549578736733555367	0 12 40 52 70 96 100 136 210 246 250 276 294 306 334 346	-22652189320
STPT(10)	2549579241244654481	0 2 30 32 78 80 126 128 156 158	481858909794
STPT(10)	2549579374565054957	0 2 30 32 72 74 114 116 144 146	615179310270
SPT(16)	2549579663921293879	0 42 54 64 88 94 124 130 162 168 198 204 228 238 250 292	904535549192
SPT(16)	2549579861664736861	0 28 46 90 100 132 148 156 202 210 226 258 268 312 330 358	1102278992174
STPT(10)	2549579909451293261	0 2 6 8 48 50 90 92 96 98	1150065548574