Prime p₀= 2746343563786644737 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Rantanplan
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2746342607759118289	0 10 12 18 34 42 52 64 108 120 130 138 154 160 162 172	-956027526448
SPT(16)	2746342759851510637	0 6 42 52 90 94 96 102 124 130 132 136 174 184 220 226	-803935134100
SPT(16)	2746342847816870273	0 66 80 90 110 126 138 168 236 266 278 294 314 324 338 404	-715969774464
SPT(16)	2746343236192897513	0 6 30 78 106 120 148 156 160 168 196 210 238 286 310 316	-327593747224
SPT(16)	2746343385219558919	0 12 42 60 64 120 130 142 270 282 292 348 352 370 400 412	-178567085818
TPT(14)	2746343533046852909	0 2 18 20 30 32 120 122 132 134 162 164 210 212	-30739791828
SPT(16)	2746344618676512407	0 2 32 50 116 134 140 144 152 156 162 180 246 264 294 296	1054889867670
STPT(10)	2746344744104993399	0 2 18 20 30 32 42 44 60 62	1180318348662
STPT(10)	2746344849201863837	0 2 42 44 72 74 102 104 144 146	1285415219100
STPT(10)	2746345463259311759	0 2 18 20 30 32 42 44 60 62	1899472667022
TPT(16)	2746345499945023157	0 2 42 44 60 62 84 86 102 104 192 194 240 242 252 254	1936158378420