Prime p₀= 1295397464980885709 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 76 2 76 2 40 2 (?)
a_n: 0 2 42 44 120 122 198 200 240 242
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: 242
Found by: Cruncher Pete
db: batch=77, k=10, 2 40 2 76 2

SPT(16)	1295396412402338341	0 18 28 30 76 78 90 130 186 226 238 240 286 288 298 316	-1052578547368
SPT(16)	1295396696114843177	0 20 66 74 114 120 140 206 294 360 380 386 426 434 480 500	-768866042532
STPT(10)	1295396729584916207	0 2 12 14 42 44 72 74 84 86	-735395969502
SPT(16)	1295397163368617783	0 8 18 48 68 80 84 90 194 200 204 216 236 266 276 284	-301612267926
SPT(16)	1295397202704226577	0 2 42 50 54 104 156 174 182 200 252 302 306 314 354 356	-262276659132
STPT(10)	1295397207886978409	0 2 48 50 90 92 132 134 180 182	-257093907300
SPT(16)	1295398010173576193	0 66 96 126 170 174 224 264 266 306 356 360 404 434 464 530	545192690484
SPT(16)	1295398028050063633	0 94 100 106 114 138 148 150 154 156 166 190 198 204 210 304	563069177924
STPT(10)	1295398106404541429	0 2 12 14 90 92 168 170 180 182	641423655720
SPT(16)	1295398675635918647	0 2 24 50 56 66 72 80 126 134 140 150 156 182 204 206	1210655032938
STPT(10)	1295398735681557041	0 2 6 8 108 110 210 212 216 218	1270700671332