Prime p₀= 2580967913849153501 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: [SG-FC] hl
db: batch=82, k=10, 2 28 2 46 2

SPT(16)	2580966410715149417	0 6 20 80 132 164 174 176 240 242 252 284 336 396 410 416	-1503134004084
TPT(14)	2580967039626124157	0 2 30 32 54 56 84 86 150 152 192 194 240 242	-874223029344
SPT(16)	2580967262830266619	0 22 58 64 70 88 102 114 178 190 204 222 228 234 270 292	-651018886882
SPT(16)	2580967592815188977	0 32 126 152 164 192 234 236 240 242 284 312 324 350 444 476	-321033964524
STPT(10)	2580967708714566341	0 2 30 32 78 80 126 128 156 158	-205134587160
TPT(14)	2580967877465080841	0 2 6 8 48 50 126 128 138 140 168 170 210 212	-36384072660
SPT(16)	2580968001524130679	0 28 48 58 94 108 130 154 198 222 244 258 294 304 324 352	87674977178
STPT(10)	2580968057436791777	0 2 42 44 72 74 102 104 144 146	143587638276
STPT(10)	2580968135383388579	0 2 12 14 90 92 168 170 180 182	221534235078
SPT(16)	2580968437093878991	0 12 42 46 60 66 90 112 150 172 196 202 216 220 250 262	523244725490
TPT(14)	2580968526230930579	0 2 18 20 42 44 102 104 162 164 168 170 210 212	612381777078