Prime p₀= 2978752412454504071 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 124 2 10 2 10 2 124 2 (?)
a_n: 0 2 126 128 138 140 150 152 276 278
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: Orange Kid
db: batch=82, k=10, 2 124 2 10 2

SPT(16)	2978751353749986349	0 22 30 72 108 112 148 174 178 204 240 244 280 322 330 352	-1058704517722
SPT(16)	2978751530374473247	0 16 34 36 94 216 220 276 280 336 340 462 520 522 540 556	-882080030824
STPT(10)	2978751539474542859	0 2 18 20 30 32 42 44 60 62	-872979961212
SPT(16)	2978751886893856571	0 2 66 68 78 86 138 170 318 350 402 410 420 422 486 488	-525560647500
STPT(10)	2978752090598023931	0 2 36 38 78 80 120 122 156 158	-321856480140
TPT(14)	2978752116376838519	0 2 18 20 42 44 90 92 132 134 222 224 240 242	-296077665552
STPT(10)	2978752488680518601	0 2 6 8 18 20 30 32 36 38	76226014530
STPT(10)	2978752677531977777	0 2 54 56 72 74 90 92 144 146	265077473706
SPT(16)	2978752738524671357	0 6 36 60 116 146 156 204 266 314 324 354 410 434 464 470	326070167286
SPT(16)	2978752808065538563	0 30 66 78 90 100 160 178 306 324 384 394 406 418 454 484	395611034492
SPT(16)	2978753414541694201	0 10 16 46 66 126 136 156 172 192 202 262 282 312 318 328	1002087190130