Prime p₀= 2768889353110919567 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: [SG-FC] hl
db: batch=82, k=10, 2 40 2 28 2

STPT(10)	2768888436333562061	0 2 36 38 78 80 120 122 156 158	-916777357506
STPT(10)	2768888531053552007	0 2 60 62 102 104 144 146 204 206	-822057367560
SPT(16)	2768888617365078391	0 16 22 58 78 88 96 102 106 112 120 130 150 186 192 208	-735745841176
SPT(16)	2768889007691811839	0 20 24 92 104 134 158 164 228 234 258 288 300 368 372 392	-345419107728
SPT(16)	2768889172048921721	0 2 30 38 42 72 78 98 150 170 176 206 210 218 246 248	-181061997846
SPT(16)	2768889347930027407	0 10 22 52 82 130 142 150 184 192 204 252 282 312 324 334	-5180892160
STPT(10)	2768889702145432937	0 2 30 32 120 122 210 212 240 242	349034513370
SPT(16)	2768890044708025163	0 8 30 56 80 170 198 246 290 338 366 456 480 506 528 536	691597105596
SPT(20)	2768890575840157337	0 6 24 56 66 86 114 122 126 132 164 170 174 182 210 230 240 272 290 296	1222729237770
STPT(10)	2768890579664082617	0 2 42 44 72 74 102 104 144 146	1226553163050
SPT(16)	2768890742462056799	0 14 42 44 54 74 98 104 138 144 168 188 198 200 228 242	1389351137232