Prime p₀= 2077069007544167669 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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 46 2 40 2

SPT(16)	2077068748132189447	0 4 10 12 42 60 70 82 264 276 286 304 334 336 342 346	-259411978222
STPT(10)	2077068818734344899	0 2 48 50 60 62 72 74 120 122	-188809822770
SPT(16)	2077068830067879601	0 22 46 88 106 120 132 178 270 316 328 342 360 402 426 448	-177476288068
SPT(16)	2077068845563538977	0 12 42 64 82 94 120 156 160 196 222 234 252 274 304 316	-161980628692
STPT(10)	2077068971673754151	0 2 36 38 78 80 120 122 156 158	-35870413518
STPT(10)	2077068975207863237	0 2 12 14 42 44 72 74 84 86	-32336304432
STPT(10)	2077069170008614097	0 2 30 32 42 44 54 56 84 86	162464446428
STPT(10)	2077069275980947439	0 2 78 80 120 122 162 164 240 242	268436779770
TPT(14)	2077069311448412987	0 2 12 14 114 116 144 146 222 224 252 254 270 272	303904245318
SPT(16)	2077069634629650209	0 2 54 84 132 152 168 170 222 224 240 260 308 338 390 392	627085482540
SPT(16)	2077070060392838779	0 30 58 78 94 108 118 130 132 144 154 168 184 204 232 262	1052848671110