Prime p₀= 2125097747297505509 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 46 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 138 140 180 182
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: 182
Found by: Landjunge
db: batch=80, k=10, 2 40 2 46 2

SPT(16)	2125096268542664539	0 40 42 78 108 118 150 210 232 292 324 334 364 400 402 442	-1478754840970
STPT(10)	2125096560003383171	0 2 6 8 18 20 30 32 36 38	-1187294122338
SPT(16)	2125096608501043627	0 24 52 66 142 150 192 204 262 274 316 324 400 414 442 466	-1138796461882
SPT(18)	2125096664201143447	0 42 66 70 90 100 132 154 184 192 222 244 276 286 306 310 334 376	-1083096362062
STPT(10)	2125097135292688757	0 2 54 56 72 74 90 92 144 146	-612004816752
STPT(10)	2125097514628099127	0 2 30 32 42 44 54 56 84 86	-232669406382
STPT(10)	2125097889628141367	0 2 30 32 60 62 90 92 120 122	142330635858
SPT(16)	2125098398200776841	0 6 66 78 118 120 138 156 160 178 196 198 238 250 310 316	650903271332
STPT(10)	2125098428160271217	0 2 90 92 132 134 174 176 264 266	680862765708
SPT(16)	2125098522812663143	0 4 18 36 124 148 154 160 174 180 186 210 298 316 330 334	775515157634
STPT(10)	2125098643139472821	0 2 6 8 18 20 30 32 36 38	895841967312