Prime p₀= 2737531927363890659 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2737530570144667249	0 42 58 60 64 84 102 130 162 190 208 228 232 234 250 292	-1357219223410
STPT(10)	2737530715541672759	0 2 42 44 60 62 78 80 120 122	-1211822217900
SPT(16)	2737531255683272911	0 36 58 88 102 106 120 130 168 178 192 196 210 240 262 298	-671680617748
STPT(10)	2737531329293873921	0 2 6 8 48 50 90 92 96 98	-598070016738
STPT(10)	2737531555728492041	0 2 36 38 78 80 120 122 156 158	-371635398618
STPT(10)	2737531869949593707	0 2 42 44 72 74 102 104 144 146	-57414296952
TPT(14)	2737532195214120167	0 2 12 14 54 56 120 122 162 164 204 206 264 266	267850229508
SPT(13)	2737532943071869301	0 30 42 72 108 132 150 168 192 228 258 270 300	1015707978642
SPT(16)	2737533024630591331	0 6 16 28 60 72 88 100 228 240 256 268 300 312 322 328	1097266700672
STPT(10)	2737533185661723929	0 2 18 20 30 32 42 44 60 62	1258297833270
SPT(16)	2737533526669871863	0 24 64 154 156 190 204 234 250 280 294 328 330 420 460 484	1599305981204