Prime p₀= 2978762639784286931 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 88 2 88 2 28 2 (?)
a_n: 0 2 30 32 120 122 210 212 240 242
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: 242
Found by: herby44
db: batch=82, k=10, 2 28 2 88 2

SPT(16)	2978761569184484767	0 10 76 120 126 186 190 256 294 360 364 424 430 474 540 550	-1070599802164
SPT(16)	2978762142752820029	0 14 114 182 212 218 222 240 242 260 264 270 300 368 468 482	-497031466902
STPT(10)	2978762419276835027	0 2 12 14 72 74 132 134 144 146	-220507451904
STPT(10)	2978762431323999497	0 2 60 62 72 74 84 86 144 146	-208460287434
STPT(10)	2978762538030854777	0 2 42 44 72 74 102 104 144 146	-101753432154
STPT(10)	2978762605749036311	0 2 6 8 18 20 30 32 36 38	-34035250620
SPT(16)	2978762656454524399	0 70 84 132 150 174 202 204 208 210 238 262 280 328 342 412	16670237468
SPT(16)	2978762891725148041	0 22 28 106 108 120 142 178 180 216 238 250 252 330 336 358	251940861110
STPT(10)	2978763295918458647	0 2 30 32 42 44 54 56 84 86	656134171716
SPT(16)	2978763314469825671	0 20 26 42 60 66 68 116 132 180 182 188 206 222 228 248	674685538740
SPT(16)	2978763382097709683	0 14 60 66 96 110 116 240 404 528 534 548 578 584 630 644	742313422752