Prime p₀= 1972797129115189649 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: Cruncher Pete
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	1972795490109106283	0 20 38 54 78 80 84 90 98 104 108 110 134 150 168 188	-1639006083366
TPT(14)	1972795531694082239	0 2 18 20 42 44 60 62 72 74 102 104 222 224	-1597421107410
SPT(16)	1972795640576656783	0 6 40 60 118 138 150 160 186 196 208 228 286 306 340 346	-1488538532866
SPT(16)	1972795728664147367	0 24 30 60 92 140 170 180 224 234 264 312 344 374 380 404	-1400451042282
TPT(14)	1972796482015949111	0 2 30 32 90 92 96 98 156 158 168 170 210 212	-647099240538
SPT(16)	1972796928257521423	0 4 36 78 106 114 126 166 168 208 220 228 256 298 330 334	-200857668226
TPT(14)	1972797759508711271	0 2 36 38 90 92 108 110 168 170 210 212 276 278	630393521622
SPT(16)	1972797841470532507	0 22 34 60 90 106 132 156 160 184 210 226 256 282 294 316	712355342858
TPT(14)	1972798201038038861	0 2 90 92 198 200 210 212 216 218 240 242 258 260	1071922849212
SPT(16)	1972798252190682649	0 24 40 94 118 132 144 162 220 238 250 264 288 342 358 382	1123075493000
SPT(16)	1972798705755626297	0 2 72 110 180 230 266 272 324 330 366 416 486 524 594 596	1576640436648