Prime p₀= 2223769528681745459 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: Penguin
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2223767867874602503	0 28 54 114 124 138 154 160 234 240 256 270 280 340 366 394	-1660807142956
STPT(12)	2223768215475675809	0 2 12 14 42 44 48 50 78 80 90 92	-1313206069650
STPT(10)	2223768532790615519	0 2 42 44 60 62 78 80 120 122	-995891129940
STPT(10)	2223768591902386349	0 2 18 20 30 32 42 44 60 62	-936779359110
TPT(14)	2223769226876192519	0 2 12 14 18 20 60 62 138 140 198 200 348 350	-301805552940
STPT(10)	2223769340288823527	0 2 30 32 72 74 114 116 144 146	-188392921932
SPT(16)	2223770877808095877	0 4 30 60 84 94 136 160 186 210 252 262 286 316 342 346	1349126350418
SPT(16)	2223771532151549089	0 22 24 34 42 90 112 114 118 120 142 190 198 208 210 232	2003469803630
SPT(16)	2223771986223560389	0 64 78 94 112 114 214 238 264 288 388 390 408 424 438 502	2457541814930
SPT(16)	2223772275970986319	0 40 54 82 112 148 160 178 204 222 234 270 300 328 342 382	2747289240860
SPT(16)	2223772276735492381	0 10 28 30 66 90 100 106 210 216 226 250 286 288 306 316	2748053746922