Prime p₀= 1273666850937051377 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: HenkM
db: batch=77, k=10, 2 40 2 28 2

SPT(16)	1273665544737476419	0 22 34 60 64 124 132 180 232 280 288 348 352 378 390 412	-1306199574958
SPT(16)	1273665682943487541	0 10 30 42 52 60 70 78 130 138 148 156 166 178 198 208	-1167993563836
SPT(16)	1273665823181618303	0 6 8 26 50 78 108 150 164 206 236 264 288 306 308 314	-1027755433074
STPT(10)	1273666294809076739	0 2 18 20 30 32 42 44 60 62	-556127974638
SPT(16)	1273666538741000461	0 18 36 66 100 148 168 192 226 250 270 318 352 382 400 418	-312196050916
SPT(16)	1273666801951856441	0 6 8 42 90 120 122 138 290 306 308 338 386 420 422 428	-48985194936
SPT(16)	1273666866252425231	0 32 56 72 80 122 126 152 156 182 186 228 236 252 276 308	15315373854
STPT(10)	1273666904261847881	0 2 30 32 60 62 90 92 120 122	53324796504
SPT(16)	1273667469281274049	0 30 52 64 82 94 112 120 154 162 180 192 210 222 244 274	618344222672
SPT(16)	1273668089934585707	0 14 74 84 96 134 146 162 284 300 312 350 362 372 432 446	1238997534330
SPT(16)	1273668091840488161	0 30 42 72 80 98 110 126 182 198 210 228 236 266 278 308	1240903436784