Prime p₀= 2544264014960239469 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: JayPi
db: batch=82, k=10, 2 40 2 16 2

SPT(16)	2544261514257046679	0 8 62 72 78 84 128 132 140 144 188 194 200 210 264 272	-2500703192790
STPT(10)	2544261602883393269	0 2 30 32 60 62 90 92 120 122	-2412076846200
SPT(16)	2544263226779981827	0 16 42 84 112 124 126 162 184 220 222 234 262 304 330 346	-788180257642
STPT(10)	2544263380516595999	0 2 48 50 60 62 72 74 120 122	-634443643470
STPT(10)	2544263756165071277	0 2 30 32 42 44 54 56 84 86	-258795168192
STPT(10)	2544263983466595359	0 2 48 50 90 92 132 134 180 182	-31493644110
TPT(14)	2544264738643822037	0 2 42 44 54 56 60 62 72 74 114 116 264 266	723683582568
STPT(12)	2544264738643822037	0 2 42 44 54 56 60 62 72 74 114 116	723683582568
SPT(16)	2544264868468023067	0 12 54 70 82 112 126 136 210 220 234 264 276 292 334 346	853507783598
SPT(16)	2544265346916192797	0 44 72 80 84 86 254 282 494 522 690 692 696 704 732 776	1331955953328
SPT(16)	2544265434931144399	0 12 28 88 100 102 142 150 160 168 208 210 222 282 298 310	1419970904930