Prime p₀= 2658774543245542619 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: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2658772396534766719	0 22 30 64 72 78 84 100 132 148 154 160 168 202 210 232	-2146710775900
STPT(12)	2658772428196206017	0 2 24 26 54 56 120 122 150 152 174 176	-2115049336602
TPT(14)	2658773150337013427	0 2 12 14 42 44 54 56 84 86 90 92 102 104	-1392908529192
SPT(16)	2658773188828505423	0 38 48 68 108 126 134 146 408 420 428 446 486 506 516 554	-1354417037196
STPT(10)	2658773365534055591	0 2 6 8 48 50 90 92 96 98	-1177711487028
STPT(12)	2658773485539524321	0 2 36 38 48 50 78 80 90 92 126 128	-1057706018298
SPT(20)	2658775685632601237	0 50 80 104 140 164 222 230 234 240 356 362 366 374 432 456 492 516 546 596	1142387058618
STPT(10)	2658776306534913491	0 2 36 38 108 110 180 182 216 218	1763289370872
SPT(16)	2658776783478640739	0 32 48 78 90 162 168 192 200 224 230 302 314 344 360 392	2240233098120
SPT(16)	2658777815255131421	0 8 60 98 120 146 186 230 306 350 390 416 438 476 528 536	3272009588802
STPT(10)	2658778075366344689	0 2 18 20 30 32 42 44 60 62	3532120802070