Prime p₀= 2531126785092126581 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: [SG]ATA-Rolf
db: batch=82, k=10, 2 4 2 40 2

TPT(14)	2531125140225191009	0 2 12 14 78 80 90 92 108 110 132 134 210 212	-1644866935572
SPT(16)	2531125385469811499	0 20 62 74 110 144 150 152 222 224 230 264 300 312 354 374	-1399622315082
SPT(16)	2531125504852666571	0 2 80 90 128 132 170 182 198 210 248 252 290 300 378 380	-1280239460010
STPT(10)	2531126079033778559	0 2 48 50 90 92 132 134 180 182	-706058348022
TPT(14)	2531126123933342807	0 2 42 44 84 86 102 104 132 134 144 146 222 224	-661158783774
SPT(16)	2531126539634012381	0 42 48 110 132 140 152 162 278 288 300 308 330 392 398 440	-245458114200
SPT(16)	2531126790076309577	0 14 20 62 80 84 150 152 162 164 230 234 252 294 300 314	4984182996
STPT(10)	2531126924612085221	0 2 30 32 120 122 210 212 240 242	139519958640
SPT(16)	2531127151676136779	0 38 98 104 108 122 132 134 138 140 150 164 168 174 234 272	366584010198
STPT(10)	2531127555628550141	0 2 6 8 48 50 90 92 96 98	770536423560
STPT(10)	2531127664548363887	0 2 30 32 42 44 54 56 84 86	879456237306