Prime p₀= 2658778075366344689 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: [SG-FC] hl
db: batch=82, k=10, 2 16 2 10 2

STPT(12)	2658773485539524321	0 2 36 38 48 50 78 80 90 92 126 128	-4589826820368
STPT(10)	2658774543245542619	0 2 18 20 30 32 42 44 60 62	-3532120802070
SPT(20)	2658775685632601237	0 50 80 104 140 164 222 230 234 240 356 362 366 374 432 456 492 516 546 596	-2389733743452
STPT(10)	2658776306534913491	0 2 36 38 108 110 180 182 216 218	-1768831431198
SPT(16)	2658776783478640739	0 32 48 78 90 162 168 192 200 224 230 302 314 344 360 392	-1291887703950
SPT(16)	2658777815255131421	0 8 60 98 120 146 186 230 306 350 390 416 438 476 528 536	-260111213268
SPT(16)	2658778158020413333	0 28 34 46 48 58 94 108 136 150 186 196 198 210 216 244	82654068644
SPT(16)	2658778509765888253	0 24 58 84 118 150 156 196 258 298 304 336 370 396 430 454	434399543564
STPT(10)	2658778975377161981	0 2 36 38 78 80 120 122 156 158	900010817292
STPT(10)	2658779072356133117	0 2 30 32 42 44 54 56 84 86	996989788428
SPT(18)	2658779175756045773	0 6 14 48 78 104 114 116 144 170 198 200 210 236 266 300 308 314	1100389701084