Prime p₀= 2778112310609720657 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: conf [MM]
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2778109222817503391	0 18 20 56 122 126 146 150 218 222 242 246 312 348 350 368	-3087792217266
STPT(10)	2778109443714970031	0 2 6 8 18 20 30 32 36 38	-2866894750626
STPT(10)	2778109492646785667	0 2 30 32 42 44 54 56 84 86	-2817962934990
SPT(16)	2778111025501627721	0 2 78 120 126 180 198 206 222 230 248 302 308 350 426 428	-1285108092936
SPT(16)	2778111531971893709	0 20 30 60 62 72 102 120 194 212 242 252 254 284 294 314	-778637826948
STPT(10)	2778111724503130577	0 2 42 44 72 74 102 104 144 146	-586106590080
STPT(10)	2778112352360414891	0 2 6 8 48 50 90 92 96 98	41750694234
SPT(16)	2778112440278371159	0 42 108 124 150 160 178 204 208 234 252 262 288 304 370 412	129668650502
STPT(10)	2778113526279247361	0 2 6 8 18 20 30 32 36 38	1215669526704
SPT(16)	2778113814841855141	0 40 66 72 142 166 196 226 402 432 462 486 556 562 588 628	1504232134484
SPT(16)	2778114190856801443	0 6 34 78 106 154 168 180 184 196 210 258 286 330 358 364	1880247080786