Prime p₀= 2338588578226004981 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: Landjunge
db: batch=81, k=10, 2 28 2 28 2

SPT(16)	2338587370286358613	0 10 64 88 94 100 108 144 154 190 198 204 210 234 288 298	-1207939646368
SPT(16)	2338587415569418067	0 20 36 62 84 96 104 140 186 222 230 242 264 290 306 326	-1162656586914
SPT(16)	2338587489325710613	0 58 124 126 138 168 196 198 226 228 256 286 298 300 366 424	-1088900294368
TPT(14)	2338587795284265071	0 2 150 152 156 158 420 422 456 458 576 578 600 602	-782941739910
SPT(16)	2338588100435569069	0 40 90 138 162 204 294 300 322 328 418 460 484 532 582 622	-477790435912
STPT(12)	2338588348760812607	0 2 42 44 90 92 174 176 222 224 264 266	-229465192374
TPT(14)	2338588886003328599	0 2 42 44 90 92 102 104 168 170 198 200 222 224	307777323618
SPT(16)	2338588903072100747	0 12 50 80 90 144 146 162 164 180 182 236 246 276 314 326	324846095766
STPT(12)	2338588920676528307	0 2 12 14 30 32 54 56 72 74 84 86	342450523326
SPT(16)	2338589399769361073	0 66 90 98 114 156 206 210 254 258 308 350 366 374 398 464	821543356092
TPT(14)	2338589475197794307	0 2 60 62 102 104 144 146 222 224 234 236 240 242	896971789326