Prime p₀= 2164888616268546977 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Landjunge
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2164887398245590433	0 64 78 88 94 108 178 186 238 246 316 330 336 346 360 424	-1218022956544
SPT(16)	2164887421563993821	0 2 6 18 90 102 116 120 128 132 146 158 230 242 246 248	-1194704553156
SPT(16)	2164887823421228833	0 16 30 64 70 76 88 100 144 156 168 174 180 214 228 244	-792847318144
SPT(16)	2164887991333804921	0 46 52 66 78 90 106 108 130 132 148 160 172 186 192 238	-624934742056
SPT(16)	2164888034258187409	0 34 42 52 84 94 112 124 210 222 240 250 282 292 300 334	-582010359568
SPT(16)	2164888043606901779	0 14 24 50 84 90 92 104 138 150 152 158 192 218 228 242	-572661645198
STPT(10)	2164888892459192057	0 2 54 56 72 74 90 92 144 146	276190645080
TPT(14)	2164889499750151631	0 2 6 8 30 32 90 92 120 122 240 242 246 248	883481604654
STPT(10)	2164889557046806691	0 2 6 8 48 50 90 92 96 98	940778259714
STPT(10)	2164889570364854687	0 2 54 56 72 74 90 92 144 146	954096307710
STPT(10)	2164889601463727189	0 2 42 44 60 62 78 80 120 122	985195180212