Prime p₀= 1123793791040754479 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 10 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 72 74 120 122
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: stoneageman
db: batch=76, k=10, 2 46 2 10 2

SPT(16)	1123792103987302283	0 8 18 20 24 30 66 78 86 98 134 140 144 146 156 164	-1687053452196
SPT(16)	1123792583887842403	0 30 34 54 58 64 78 96 178 196 210 216 220 240 244 274	-1207152912076
SPT(20)	1123792596876253181	0 20 26 86 120 126 132 146 152 168 260 276 282 296 302 308 342 402 408 428	-1194164501298
TPT(14)	1123792790839134527	0 2 24 26 72 74 102 104 180 182 192 194 222 224	-1000201619952
STPT(10)	1123793019898095257	0 2 12 14 42 44 72 74 84 86	-771142659222
SPT(16)	1123793265107289137	0 12 20 32 44 56 84 132 194 242 270 282 294 306 314 326	-525933465342
TPT(14)	1123793819610189197	0 2 54 56 84 86 114 116 162 164 240 242 324 326	28569434718
STPT(10)	1123794109464276797	0 2 30 32 42 44 54 56 84 86	318423522318
SPT(16)	1123794365528046757	0 46 90 96 136 150 160 166 306 312 322 336 376 382 426 472	574487292278
SPT(16)	1123794422289339569	0 2 98 132 264 278 282 314 348 380 384 398 530 564 660 662	631248585090
STPT(10)	1123794861370879679	0 2 42 44 60 62 78 80 120 122	1070330125200