Prime p₀= 1270448704934019431 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(18)	1270447170538786613	0 6 8 14 48 50 66 126 156 308 338 398 414 416 450 456 458 464	-1534395232818
TPT(14)	1270447340119109459	0 2 60 62 138 140 228 230 240 242 270 272 282 284	-1364814909972
TPT(14)	1270447446922547981	0 2 6 8 48 50 66 68 90 92 126 128 216 218	-1258011471450
SPT(16)	1270447510720894501	0 6 10 22 36 42 78 102 136 160 196 202 216 228 232 238	-1194213124930
STPT(10)	1270447680282993761	0 2 6 8 48 50 90 92 96 98	-1024651025670
STPT(10)	1270447881356465699	0 2 18 20 30 32 42 44 60 62	-823577553732
SPT(16)	1270449008337072691	0 28 30 40 58 70 78 102 106 130 138 150 168 178 180 208	303403053260
TPT(14)	1270449033283913111	0 2 96 98 126 128 156 158 180 182 186 188 228 230	328349893680
SPT(16)	1270449034352615099	0 8 12 48 90 98 120 138 164 182 204 212 254 290 294 302	329418595668
SPT(16)	1270449110442779557	0 6 36 52 54 76 90 94 192 196 210 232 234 250 280 286	405508760126
STPT(10)	1270449126215064371	0 2 36 38 78 80 120 122 156 158	421281044940