Prime p₀= 1297097211772139891 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: MarkRBright
db: batch=77, k=10, 2 34 2 40 2

STPT(10)	1297095865596729311	0 2 36 38 78 80 120 122 156 158	-1346175410580
SPT(16)	1297095986728523351	0 2 56 60 126 132 146 156 182 192 206 212 278 282 336 338	-1225043616540
SPT(16)	1297096001765418671	0 38 42 48 68 90 110 122 168 180 200 222 242 248 252 290	-1210006721220
SPT(16)	1297096094320514039	0 18 54 80 140 164 180 198 224 242 258 282 342 368 404 422	-1117451625852
SPT(13)	1297096172404420253	0 48 60 66 90 126 138 150 186 210 216 228 276	-1039367719638
SPT(16)	1297097121921731633	0 68 74 110 138 188 206 228 236 258 276 326 354 390 396 464	-89850408258
SPT(16)	1297097433618578521	0 52 76 90 132 142 166 198 220 252 276 286 328 342 366 418	221846438630
STPT(10)	1297097434334721959	0 2 18 20 60 62 102 104 120 122	222562582068
STPT(10)	1297097443815789347	0 2 30 32 42 44 54 56 84 86	232043649456
SPT(16)	1297097750237828339	0 98 104 108 114 120 132 140 162 170 182 188 194 198 204 302	538465688448
SPT(16)	1297097836212966257	0 30 56 74 92 126 150 164 282 296 320 354 372 390 416 446	624440826366