Prime p₀= 1588303305929319137 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: Theadalus
db: batch=78, k=10, 2 28 2 40 2

SPT(16)	1588301394828309893	0 14 26 30 54 84 96 156 224 284 296 326 350 354 366 380	-1911101009244
SPT(16)	1588302258228574391	0 62 128 138 140 150 158 180 200 222 230 240 242 252 318 380	-1047700744746
SPT(16)	1588302377994116231	0 12 30 32 72 80 110 116 222 228 258 266 306 308 326 338	-927935202906
SPT(16)	1588302584334428177	0 42 80 144 150 210 260 284 312 336 386 446 452 516 554 596	-721594890960
SPT(16)	1588302833703782201	0 12 90 92 96 126 146 200 252 306 326 356 360 362 440 452	-472225536936
STPT(10)	1588302835504515041	0 2 6 8 18 20 30 32 36 38	-470424804096
STPT(10)	1588303432132510967	0 2 30 32 42 44 54 56 84 86	126203191830
SPT(16)	1588303531220131457	0 2 6 12 30 90 92 116 240 264 266 326 344 350 354 356	225290812320
STPT(10)	1588303624954186211	0 2 36 38 78 80 120 122 156 158	319024867074
STPT(12)	1588303717325427017	0 2 42 44 60 62 84 86 102 104 144 146	411396107880
STPT(10)	1588304235708188417	0 2 12 14 42 44 72 74 84 86	929778869280