Prime p₀= 2164244122411053971 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 58 2 58 2 76 2 (?)
a_n: 0 2 78 80 138 140 198 200 276 278
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: 278
Found by: Landjunge
db: batch=81, k=10, 2 76 2 58 2

STPT(10)	2164243077929610749	0 2 30 32 120 122 210 212 240 242	-1044481443222
STPT(10)	2164243105336093097	0 2 30 32 42 44 54 56 84 86	-1017074960874
STPT(10)	2164243178754058397	0 2 30 32 72 74 114 116 144 146	-943656995574
SPT(16)	2164243318477802377	0 12 34 40 72 154 184 222 232 270 300 382 414 420 442 454	-803933251594
SPT(18)	2164243770783047171	0 30 36 38 96 98 116 128 138 140 150 162 180 182 240 242 248 278	-351628006800
SPT(16)	2164243983215831477	0 32 120 132 146 162 200 224 252 276 314 330 344 356 444 476	-139195222494
SPT(16)	2164244137594661593	0 18 58 66 76 78 94 120 184 210 226 228 238 246 286 304	15183607622
SPT(16)	2164244598539052791	0 2 60 62 68 86 138 170 198 230 282 300 306 308 366 368	476127998820
SPT(16)	2164244642413952209	0 18 28 48 90 114 138 210 382 454 478 502 544 564 574 592	520002898238
SPT(16)	2164244668874263421	0 50 56 66 78 80 138 150 278 290 348 350 362 372 378 428	546463209450
SPT(16)	2164244738938524071	0 8 18 32 92 98 126 140 198 212 240 246 306 320 330 338	616527470100