Prime p₀= 1148202877853267021 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: crashtech
db: batch=76, k=10, 2 28 2 28 2

SPT(16)	1148201554158217553	0 26 54 60 66 74 140 170 180 210 276 284 290 296 324 350	-1323695049468
STPT(10)	1148201637808245101	0 2 6 8 48 50 90 92 96 98	-1240045021920
SPT(16)	1148201644373597603	0 44 80 114 138 140 144 150 158 164 168 170 194 228 264 308	-1233479669418
STPT(12)	1148201946736999337	0 2 42 44 54 56 150 152 162 164 204 206	-931116267684
SPT(16)	1148202445759009801	0 28 30 42 88 90 130 132 196 198 238 240 286 298 300 328	-432094257220
SPT(16)	1148202852209450623	0 6 10 48 78 84 94 106 108 120 130 136 166 204 208 214	-25643816398
STPT(10)	1148203359019438619	0 2 18 20 60 62 102 104 120 122	481166171598
SPT(16)	1148203409825503099	0 4 48 78 120 124 222 238 264 280 378 382 424 454 498 502	531972236078
STPT(10)	1148203489465189139	0 2 12 14 90 92 168 170 180 182	611611922118
SPT(16)	1148203569275422367	0 30 66 74 80 86 144 164 186 206 264 270 276 284 320 350	691422155346
STPT(10)	1148203964772442481	0 2 36 38 78 80 120 122 156 158	1086919175460