Prime p₀= 2501557399078963397 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: JayPi
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2501556604104550963	0 36 40 54 106 136 196 210 244 258 318 348 400 414 418 454	-794974412434
STPT(10)	2501556842163377261	0 2 6 8 48 50 90 92 96 98	-556915586136
SPT(16)	2501556910086374089	0 22 52 70 190 210 244 274 300 330 364 384 504 522 552 574	-488992589308
STPT(10)	2501556980631628889	0 2 12 14 30 32 48 50 60 62	-418447334508
STPT(10)	2501557032819264311	0 2 78 80 108 110 138 140 216 218	-366259699086
TPT(14)	2501557233928089551	0 2 30 32 126 128 156 158 168 170 186 188 240 242	-165150873846
SPT(16)	2501557434224027117	0 12 50 54 66 80 92 116 120 144 156 170 182 186 224 236	35145063720
SPT(18)	2501557441736210177	0 6 12 56 80 102 132 176 182 270 276 320 350 372 396 440 446 452	42657246780
STPT(10)	2501557710740404241	0 2 30 32 78 80 126 128 156 158	311661440844
SPT(16)	2501557900102277671	0 6 28 30 78 102 168 226 312 370 436 460 508 510 532 538	501023314274
STPT(10)	2501558028608956391	0 2 6 8 48 50 90 92 96 98	629529992994