Prime p₀= 1295671272086675129 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: Cruncher Pete
db: batch=77, k=10, 2 46 2 10 2

SPT(16)	1295669642697151811	0 42 56 92 102 122 140 152 216 228 246 266 276 312 326 368	-1629389523318
STPT(10)	1295669929054602989	0 2 18 20 30 32 42 44 60 62	-1343032072140
SPT(16)	1295669977329655001	0 2 12 60 68 132 152 158 240 246 266 330 338 386 396 398	-1294757020128
SPT(16)	1295670084321375467	0 6 14 24 84 92 102 150 176 224 234 242 302 312 320 326	-1187765299662
SPT(16)	1295670085344792401	0 6 26 38 80 96 128 138 158 168 200 216 258 270 290 296	-1186741882728
STPT(10)	1295670361913736671	0 2 36 38 78 80 120 122 156 158	-910172938458
STPT(12)	1295671685440480889	0 2 48 50 78 80 132 134 162 164 210 212	413353805760
SPT(16)	1295672214085545053	0 18 24 30 98 108 150 158 366 374 416 426 494 500 506 524	941998869924
STPT(10)	1295672381100290927	0 2 30 32 42 44 54 56 84 86	1109013615798
TPT(14)	1295672388466264811	0 2 6 8 36 38 60 62 78 80 120 122 156 158	1116379589682
STPT(10)	1295672664424855427	0 2 12 14 42 44 72 74 84 86	1392338180298