Prime p₀= 2046774583047936941 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 106 2 28 2 28 2 106 2 (?)
a_n: 0 2 108 110 138 140 168 170 276 278
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=80, k=10, 2 106 2 28 2

STPT(10)	2046773684022373487	0 2 30 32 42 44 54 56 84 86	-899025563454
TPT(14)	2046773938343519057	0 2 24 26 30 32 54 56 114 116 192 194 210 212	-644704417884
TPT(14)	2046773968130177861	0 2 78 80 108 110 168 170 210 212 246 248 276 278	-614917759080
SPT(16)	2046773985836885917	0 10 16 52 76 94 112 150 166 204 222 240 264 300 306 316	-597211051024
SPT(16)	2046774131369128627	0 42 112 174 196 202 214 270 316 372 384 390 412 474 544 586	-451678808314
SPT(16)	2046774435026022241	0 18 22 30 42 70 72 100 198 226 228 256 268 276 280 298	-148021914700
STPT(10)	2046774594853801247	0 2 30 32 42 44 54 56 84 86	11805864306
SPT(16)	2046774996181834511	0 32 48 68 90 186 218 242 246 270 302 398 420 440 456 488	413133897570
SPT(16)	2046775009891155499	0 22 40 42 54 60 70 112 132 174 184 190 202 204 222 244	426843218558
STPT(10)	2046775235199497321	0 2 30 32 78 80 126 128 156 158	652151560380
STPT(10)	2046775483077699467	0 2 30 32 60 62 90 92 120 122	900029762526