Prime p₀= 1273809151358418971 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: HenkM
db: batch=77, k=10, 2 4 2 10 2

SPT(16)	1273807536051175049	0 12 18 38 114 122 152 192 200 240 270 278 354 374 380 392	-1615307243922
SPT(16)	1273807808206198061	0 30 96 140 150 186 200 228 278 306 320 356 366 410 476 506	-1343152220910
TPT(14)	1273807925830214207	0 2 24 26 30 32 102 104 114 116 270 272 354 356	-1225528204764
STPT(10)	1273808373955734941	0 2 36 38 78 80 120 122 156 158	-777402684030
SPT(16)	1273808541592540069	0 28 34 42 54 72 154 174 208 228 310 328 340 348 354 382	-609765878902
SPT(16)	1273808836139185391	0 26 38 50 62 78 86 90 128 132 140 156 168 180 192 218	-315219233580
SPT(16)	1273809206919146393	0 14 60 84 96 104 114 116 138 140 150 158 170 194 240 254	55560727422
STPT(10)	1273809400494832247	0 2 54 56 72 74 90 92 144 146	249136413276
SPT(16)	1273809556017850589	0 2 8 72 78 80 108 110 180 182 210 212 218 282 288 290	404659431618
SPT(16)	1273809577959047807	0 66 74 80 96 122 140 144 152 156 174 200 216 222 230 296	426600628836
STPT(12)	1273809734161285967	0 2 42 44 72 74 90 92 120 122 162 164	582802866996