Prime p₀= 2794772072065962797 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: gemini8
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2794769251789918243	0 10 36 58 60 88 106 126 130 150 168 196 198 220 246 256	-2820276044554
STPT(12)	2794769838215961941	0 2 30 32 60 62 96 98 126 128 156 158	-2233850000856
STPT(10)	2794770455329387229	0 2 30 32 60 62 90 92 120 122	-1616736575568
STPT(10)	2794770500280292319	0 2 30 32 60 62 90 92 120 122	-1571785670478
STPT(10)	2794770561998904899	0 2 48 50 90 92 132 134 180 182	-1510067057898
STPT(10)	2794771168224495371	0 2 6 8 18 20 30 32 36 38	-903841467426
SPT(16)	2794772124561103877	0 24 26 42 54 72 110 116 120 126 164 182 194 210 212 236	52495141080
STPT(10)	2794772482973303351	0 2 36 38 78 80 120 122 156 158	410907340554
SPT(16)	2794773062138136913	0 10 54 94 100 136 138 150 184 196 198 234 240 280 324 334	990072174116
SPT(16)	2794773108320966251	0 22 40 48 90 108 120 160 198 238 250 268 310 318 336 358	1036255003454
STPT(10)	2794773376837098617	0 2 72 74 102 104 132 134 204 206	1304771135820